Determinação de limite de função.

por macaquinho da kipling Seg 28 Mar 2022, 22:18

Se

Determinação de limite de função. Svg+xml;base64,<?xml version='1.0' encoding='UTF-8'?>
<!-- Generated by CodeCogs with dvisvgm 2.11.1 -->
<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='104.046072pt' height='28.673014pt' viewBox='-.239051 -.22797 104.046072 28.673014'>
<defs>
<path id='g4-49' d='M2.502615-5.076961C2.502615-5.292154 2.486675-5.300125 2.271482-5.300125C1.944707-4.98132 1.522291-4.790037 .765131-4.790037V-4.527024C.980324-4.527024 1.41071-4.527024 1.872976-4.742217V-.653549C1.872976-.358655 1.849066-.263014 1.091905-.263014H.812951V0C1.139726-.02391 1.825156-.02391 2.183811-.02391S3.235866-.02391 3.56264 0V-.263014H3.283686C2.526526-.263014 2.502615-.358655 2.502615-.653549V-5.076961Z'/>
<path id='g0-33' d='M6.957908-1.809215C6.686924-1.609963 6.439851-1.354919 6.248568-1.067995C5.905853-.549938 5.818182-.039851 5.818182-.00797C5.818182 .111582 5.929763 .111582 6.001494 .111582C6.089166 .111582 6.160897 .111582 6.184807 .00797C6.39203-.876712 6.902117-1.546202 7.866501-1.872976C7.930262-1.888917 7.994022-1.912827 7.994022-1.992528S7.922291-2.096139 7.890411-2.10411C6.830386-2.462765 6.36812-3.211955 6.200747-3.913325C6.160897-4.072727 6.160897-4.096638 6.001494-4.096638C5.929763-4.096638 5.818182-4.096638 5.818182-3.977086C5.818182-3.961146 5.897883-3.435118 6.248568-2.909091C6.479701-2.574346 6.758655-2.327273 6.957908-2.175841H.773101C.645579-2.175841 .470237-2.175841 .470237-1.992528S.645579-1.809215 .773101-1.809215H6.957908Z'/>
<path id='g2-120' d='M3.993026-3.180075C3.642341-3.092403 3.626401-2.781569 3.626401-2.749689C3.626401-2.574346 3.761893-2.454795 3.937235-2.454795S4.383562-2.590286 4.383562-2.933001C4.383562-3.387298 3.881445-3.514819 3.58655-3.514819C3.211955-3.514819 2.909091-3.251806 2.725778-2.940971C2.550436-3.363387 2.13599-3.514819 1.809215-3.514819C.940473-3.514819 .454296-2.518555 .454296-2.295392C.454296-2.223661 .510087-2.191781 .573848-2.191781C.669489-2.191781 .68543-2.231631 .70934-2.327273C.892653-2.909091 1.370859-3.291656 1.785305-3.291656C2.096139-3.291656 2.247572-3.068493 2.247572-2.781569C2.247572-2.622167 2.15193-2.255542 2.088169-2.000498C2.032379-1.769365 1.857036-1.060025 1.817186-.908593C1.705604-.478207 1.41868-.143462 1.060025-.143462C1.028144-.143462 .820922-.143462 .653549-.255044C1.020174-.342715 1.020174-.67746 1.020174-.68543C1.020174-.868742 .876712-.980324 .70137-.980324C.486177-.980324 .255044-.797011 .255044-.494147C.255044-.127522 .645579 .079701 1.052055 .079701C1.474471 .079701 1.769365-.239103 1.912827-.494147C2.088169-.103611 2.454795 .079701 2.83736 .079701C3.706102 .079701 4.184309-.916563 4.184309-1.139726C4.184309-1.219427 4.120548-1.243337 4.064757-1.243337C3.969116-1.243337 3.953176-1.187547 3.929265-1.107846C3.769863-.573848 3.315567-.143462 2.8533-.143462C2.590286-.143462 2.399004-.318804 2.399004-.653549C2.399004-.812951 2.446824-.996264 2.558406-1.44259C2.614197-1.681694 2.789539-2.383064 2.82939-2.534496C2.940971-2.948941 3.219925-3.291656 3.57858-3.291656C3.618431-3.291656 3.825654-3.291656 3.993026-3.180075Z'/>
<path id='g1-0' d='M7.878456-2.749689C8.081694-2.749689 8.296887-2.749689 8.296887-2.988792S8.081694-3.227895 7.878456-3.227895H1.41071C1.207472-3.227895 .992279-3.227895 .992279-2.988792S1.207472-2.749689 1.41071-2.749689H7.878456Z'/>
<path id='g3-102' d='M5.332005-4.805978C5.571108-4.805978 5.66675-4.805978 5.66675-5.033126C5.66675-5.152677 5.571108-5.152677 5.355915-5.152677H4.387547C4.614695-6.38406 4.782067-7.232877 4.877709-7.615442C4.94944-7.902366 5.200498-8.177335 5.511333-8.177335C5.762391-8.177335 6.01345-8.069738 6.133001-7.962142C5.66675-7.914321 5.523288-7.567621 5.523288-7.364384C5.523288-7.12528 5.702615-6.981818 5.929763-6.981818C6.168867-6.981818 6.527522-7.185056 6.527522-7.639352C6.527522-8.141469 6.025405-8.416438 5.499377-8.416438C4.985305-8.416438 4.483188-8.033873 4.244085-7.567621C4.028892-7.149191 3.90934-6.718804 3.634371-5.152677H2.833375C2.606227-5.152677 2.486675-5.152677 2.486675-4.937484C2.486675-4.805978 2.558406-4.805978 2.797509-4.805978H3.56264C3.347447-3.694147 2.857285-.992279 2.582316 .286924C2.379078 1.327024 2.199751 2.199751 1.601993 2.199751C1.566127 2.199751 1.219427 2.199751 1.004234 1.972603C1.613948 1.924782 1.613948 1.398755 1.613948 1.3868C1.613948 1.147696 1.43462 1.004234 1.207472 1.004234C.968369 1.004234 .609714 1.207472 .609714 1.661768C.609714 2.175841 1.135741 2.438854 1.601993 2.438854C2.82142 2.438854 3.323537 .251059 3.455044-.3467C3.670237-1.267248 4.25604-4.447323 4.315816-4.805978H5.332005Z'/>
<path id='g3-120' d='M5.66675-4.877709C5.284184-4.805978 5.140722-4.519054 5.140722-4.291905C5.140722-4.004981 5.36787-3.90934 5.535243-3.90934C5.893898-3.90934 6.144956-4.220174 6.144956-4.542964C6.144956-5.045081 5.571108-5.272229 5.068991-5.272229C4.339726-5.272229 3.93325-4.554919 3.825654-4.327771C3.550685-5.224408 2.809465-5.272229 2.594271-5.272229C1.374844-5.272229 .729265-3.706102 .729265-3.443088C.729265-3.395268 .777086-3.335492 .860772-3.335492C.956413-3.335492 .980324-3.407223 1.004234-3.455044C1.41071-4.782067 2.211706-5.033126 2.558406-5.033126C3.096389-5.033126 3.203985-4.531009 3.203985-4.244085C3.203985-3.981071 3.132254-3.706102 2.988792-3.132254L2.582316-1.494396C2.402989-.777086 2.056289-.119552 1.422665-.119552C1.362889-.119552 1.06401-.119552 .812951-.274969C1.243337-.358655 1.338979-.71731 1.338979-.860772C1.338979-1.099875 1.159651-1.243337 .932503-1.243337C.645579-1.243337 .334745-.992279 .334745-.609714C.334745-.107597 .896638 .119552 1.41071 .119552C1.984558 .119552 2.391034-.334745 2.642092-.824907C2.833375-.119552 3.431133 .119552 3.873474 .119552C5.092902 .119552 5.738481-1.446575 5.738481-1.709589C5.738481-1.769365 5.69066-1.817186 5.618929-1.817186C5.511333-1.817186 5.499377-1.75741 5.463512-1.661768C5.140722-.609714 4.447323-.119552 3.90934-.119552C3.490909-.119552 3.263761-.430386 3.263761-.920548C3.263761-1.183562 3.311582-1.374844 3.502864-2.163885L3.921295-3.789788C4.100623-4.507098 4.507098-5.033126 5.057036-5.033126C5.080946-5.033126 5.415691-5.033126 5.66675-4.877709Z'/>
<path id='g5-40' d='M3.88543 2.905106C3.88543 2.86924 3.88543 2.84533 3.682192 2.642092C2.486675 1.43462 1.817186-.537983 1.817186-2.976837C1.817186-5.296139 2.379078-7.292653 3.765878-8.703362C3.88543-8.810959 3.88543-8.834869 3.88543-8.870735C3.88543-8.942466 3.825654-8.966376 3.777833-8.966376C3.622416-8.966376 2.642092-8.105604 2.056289-6.933998C1.446575-5.726526 1.171606-4.447323 1.171606-2.976837C1.171606-1.912827 1.338979-.490162 1.960648 .789041C2.666002 2.223661 3.646326 3.000747 3.777833 3.000747C3.825654 3.000747 3.88543 2.976837 3.88543 2.905106Z'/>
<path id='g5-41' d='M3.371357-2.976837C3.371357-3.88543 3.251806-5.36787 2.582316-6.75467C1.876961-8.18929 .896638-8.966376 .765131-8.966376C.71731-8.966376 .657534-8.942466 .657534-8.870735C.657534-8.834869 .657534-8.810959 .860772-8.607721C2.056289-7.400249 2.725778-5.427646 2.725778-2.988792C2.725778-.669489 2.163885 1.327024 .777086 2.737733C.657534 2.84533 .657534 2.86924 .657534 2.905106C.657534 2.976837 .71731 3.000747 .765131 3.000747C.920548 3.000747 1.900872 2.139975 2.486675 .968369C3.096389-.251059 3.371357-1.542217 3.371357-2.976837Z'/>
<path id='g5-48' d='M5.355915-3.825654C5.355915-4.817933 5.296139-5.786301 4.865753-6.694894C4.375592-7.687173 3.514819-7.950187 2.929016-7.950187C2.235616-7.950187 1.3868-7.603487 .944458-6.611208C.609714-5.858032 .490162-5.116812 .490162-3.825654C.490162-2.666002 .573848-1.793275 1.004234-.944458C1.470486-.035866 2.295392 .251059 2.917061 .251059C3.957161 .251059 4.554919-.37061 4.901619-1.06401C5.332005-1.960648 5.355915-3.132254 5.355915-3.825654ZM2.917061 .011955C2.534496 .011955 1.75741-.203238 1.530262-1.506351C1.398755-2.223661 1.398755-3.132254 1.398755-3.969116C1.398755-4.94944 1.398755-5.834122 1.590037-6.539477C1.793275-7.340473 2.402989-7.711083 2.917061-7.711083C3.371357-7.711083 4.064757-7.436115 4.291905-6.40797C4.447323-5.726526 4.447323-4.782067 4.447323-3.969116C4.447323-3.16812 4.447323-2.259527 4.315816-1.530262C4.088667-.215193 3.335492 .011955 2.917061 .011955Z'/>
<path id='g5-49' d='M3.443088-7.663263C3.443088-7.938232 3.443088-7.950187 3.203985-7.950187C2.917061-7.627397 2.319303-7.185056 1.08792-7.185056V-6.838356C1.362889-6.838356 1.960648-6.838356 2.618182-7.149191V-.920548C2.618182-.490162 2.582316-.3467 1.530262-.3467H1.159651V0C1.482441-.02391 2.642092-.02391 3.036613-.02391S4.578829-.02391 4.901619 0V-.3467H4.531009C3.478954-.3467 3.443088-.490162 3.443088-.920548V-7.663263Z'/>
<path id='g5-56' d='M3.56264-4.315816C4.160399-4.638605 5.033126-5.188543 5.033126-6.192777C5.033126-7.232877 4.028892-7.950187 2.929016-7.950187C1.745455-7.950187 .812951-7.07746 .812951-5.989539C.812951-5.583064 .932503-5.176588 1.267248-4.770112C1.398755-4.614695 1.41071-4.60274 2.247572-4.016936C1.08792-3.478954 .490162-2.677958 .490162-1.80523C.490162-.537983 1.697634 .251059 2.917061 .251059C4.244085 .251059 5.355915-.729265 5.355915-1.984558C5.355915-3.203985 4.495143-3.741968 3.56264-4.315816ZM1.936737-5.391781C1.78132-5.499377 1.303113-5.810212 1.303113-6.396015C1.303113-7.173101 2.116065-7.663263 2.917061-7.663263C3.777833-7.663263 4.542964-7.041594 4.542964-6.180822C4.542964-5.451557 4.016936-4.865753 3.323537-4.483188L1.936737-5.391781ZM2.49863-3.849564L3.945205-2.905106C4.25604-2.701868 4.805978-2.331258 4.805978-1.601993C4.805978-.6934 3.88543-.071731 2.929016-.071731C1.912827-.071731 1.0401-.812951 1.0401-1.80523C1.0401-2.737733 1.721544-3.490909 2.49863-3.849564Z'/>
<path id='g5-61' d='M8.069738-3.873474C8.237111-3.873474 8.452304-3.873474 8.452304-4.088667C8.452304-4.315816 8.249066-4.315816 8.069738-4.315816H1.028144C.860772-4.315816 .645579-4.315816 .645579-4.100623C.645579-3.873474 .848817-3.873474 1.028144-3.873474H8.069738ZM8.069738-1.649813C8.237111-1.649813 8.452304-1.649813 8.452304-1.865006C8.452304-2.092154 8.249066-2.092154 8.069738-2.092154H1.028144C.860772-2.092154 .645579-2.092154 .645579-1.876961C.645579-1.649813 .848817-1.649813 1.028144-1.649813H8.069738Z'/>
<path id='g5-105' d='M2.080199-7.364384C2.080199-7.675218 1.829141-7.950187 1.494396-7.950187C1.183562-7.950187 .920548-7.699128 .920548-7.376339C.920548-7.017684 1.207472-6.790535 1.494396-6.790535C1.865006-6.790535 2.080199-7.10137 2.080199-7.364384ZM.430386-5.140722V-4.794022C1.195517-4.794022 1.303113-4.722291 1.303113-4.136488V-.884682C1.303113-.3467 1.171606-.3467 .394521-.3467V0C.729265-.02391 1.303113-.02391 1.649813-.02391C1.78132-.02391 2.47472-.02391 2.881196 0V-.3467C2.10411-.3467 2.056289-.406476 2.056289-.872727V-5.272229L.430386-5.140722Z'/>
<path id='g5-108' d='M2.056289-8.296887L.394521-8.16538V-7.81868C1.207472-7.81868 1.303113-7.734994 1.303113-7.149191V-.884682C1.303113-.3467 1.171606-.3467 .394521-.3467V0C.729265-.02391 1.315068-.02391 1.673724-.02391S2.630137-.02391 2.964882 0V-.3467C2.199751-.3467 2.056289-.3467 2.056289-.884682V-8.296887Z'/>
<path id='g5-109' d='M8.571856-2.905106C8.571856-4.016936 8.571856-4.351681 8.296887-4.734247C7.950187-5.200498 7.388294-5.272229 6.981818-5.272229C5.989539-5.272229 5.487422-4.554919 5.296139-4.088667C5.128767-5.009215 4.483188-5.272229 3.730012-5.272229C2.570361-5.272229 2.116065-4.27995 2.020423-4.040847H2.008468V-5.272229L.382565-5.140722V-4.794022C1.195517-4.794022 1.291158-4.710336 1.291158-4.124533V-.884682C1.291158-.3467 1.159651-.3467 .382565-.3467V0C.6934-.02391 1.338979-.02391 1.673724-.02391C2.020423-.02391 2.666002-.02391 2.976837 0V-.3467C2.211706-.3467 2.068244-.3467 2.068244-.884682V-3.108344C2.068244-4.363636 2.893151-5.033126 3.634371-5.033126S4.542964-4.423412 4.542964-3.694147V-.884682C4.542964-.3467 4.411457-.3467 3.634371-.3467V0C3.945205-.02391 4.590785-.02391 4.925529-.02391C5.272229-.02391 5.917808-.02391 6.228643 0V-.3467C5.463512-.3467 5.32005-.3467 5.32005-.884682V-3.108344C5.32005-4.363636 6.144956-5.033126 6.886177-5.033126S7.79477-4.423412 7.79477-3.694147V-.884682C7.79477-.3467 7.663263-.3467 6.886177-.3467V0C7.197011-.02391 7.84259-.02391 8.177335-.02391C8.524035-.02391 9.169614-.02391 9.480448 0V-.3467C8.88269-.3467 8.583811-.3467 8.571856-.705355V-2.905106Z'/>
</defs>
<g id='page1' transform='matrix(1.13 0 0 1.13 -63.986043 -61.02)'>
<use x='57.018845' y='70.852391' xlink:href='#g5-108'/>
<use x='60.270507' y='70.852391' xlink:href='#g5-105'/>
<use x='63.522168' y='70.852391' xlink:href='#g5-109'/>
<use x='56.413267' y='78.025489' xlink:href='#g2-120'/>
<use x='61.180166' y='78.025489' xlink:href='#g0-33'/>
<use x='69.648532' y='78.025489' xlink:href='#g4-49'/>
<use x='77.070726' y='62.764633' xlink:href='#g3-102'/>
<use x='84.117163' y='62.764633' xlink:href='#g5-40'/>
<use x='88.669488' y='62.764633' xlink:href='#g3-120'/>
<use x='95.321575' y='62.764633' xlink:href='#g5-41'/>
<use x='102.530565' y='62.764633' xlink:href='#g1-0'/>
<use x='114.485725' y='62.764633' xlink:href='#g5-56'/>
<rect x='77.070726' y='67.624506' height='.478187' width='43.267982'/>
<use x='85.146278' y='79.053054' xlink:href='#g3-120'/>
<use x='94.455028' y='79.053054' xlink:href='#g1-0'/>
<use x='106.410189' y='79.053054' xlink:href='#g5-49'/>
<use x='124.855051' y='70.852391' xlink:href='#g5-61'/>
<use x='137.280532' y='70.852391' xlink:href='#g5-49'/>
<use x='143.133522' y='70.852391' xlink:href='#g5-48'/>
</g>
</svg>

.
Calcule

Resp.: Sem gabarito.

Como consigo fazer esse tipo de associação?
Quando não for dada a lei de formação da função...

por **Giovana Martins** Ter 29 Mar 2022, 18:59

Penso que esta minha resolução carece de formalismos matemáticos. Talvez você perdesse alguns pontinhos aos olhos de uma banca mais rigorosa. Vou tentar pensar em alguma outra resolução. Se eu conseguir eu posto aqui.

[latex]\\\mathrm{Como\ x\to 1, logo,x\neq 1\ \therefore \ x-1\neq0}\\\\ \mathrm{\frac{f(x)-8}{x-1}=10\to f(x)-8=10(x-1)\to f(x)=10x-2 }\\\\ \mathrm{\therefore \lim_{x\to 1}f(x)= \lim_{x\to 1}(10x-2)=8}[/latex]

por macaquinho da kipling Ter 29 Mar 2022, 21:03

Oi Gi!
Ñ precisa se preocupar com isso n, eu consegui entender a sua ideia.

Apenas fiquei na dúvida sobre o seguinte: eu posso fazer essa operação "normal" de eliminar o limite e jogar o (x-1) multiplicando o 10 (na sua primeira linha da conta) normalmente, mesmo tendo o limite ali?

Tipo, pareceu pra mim q n podia entende? Por causa da notação do limite.

por **Giovana Martins** Sex 01 Abr 2022, 07:30

Então, o que eu fiz foi o seguinte, veja:

[latex]\\\mathrm{\lim_{x\to 1}\left [\frac{f(x)-8 }{x-1} \right ]=\frac{\lim_{x\to 1}[f(x)]-\lim_{x\to 1}( 8 )}{\lim_{x\to 1}(x)-\lim_{x\to 1}(1)}\to \lim_{x\to 1}[f(x)]-8=10\times (1-1)\to f(x)=8 }[/latex]

Mas não creio que esteja certo, pois me parece que eu estou realizando uma divisão por 0.

por **Rory Gilmore** Sex 01 Abr 2022, 15:09

Gio, eu penso que está certo se você não abrir o quociente (x - 1) em dois limites, deixa apenas o limite de (x - 1) e "passa" pra direita XD

por joaoZacharias Sex 01 Abr 2022, 16:04

Primeiramente eu peço a devida licença para entrar na discussão.

Creio que na "formalidade" se trate de aplicação da regra do produto:

[latex] \lim_{x \to a}{f(x)} = L_1 \text{ }, \text{ } \lim_{x \to a}{g(x)} = L_2 \implies \lim_{x \to a}{{[f(x)\cdot g(x)]}} = L_1\cdot L_2[/latex]

Assim:

[latex]\lim_{x \to 1}{\frac{f(x) - 8}{x-1}}=10 \text{ }, \text{ }\lim_{x \to 1}{(x-1)} = 0 \implies

\lim_{x \to 1}{[\frac{f(x) - {8}}{x-1}\cdot(x-1)]} = 0 \cdot 10 \implies \lim_{x \to 1}{{[f(x) - 8]}} = 0[/latex]

por **Giovana Martins** Sex 01 Abr 2022, 19:03

Bacana! Muito obrigada a ambos. Faz bastante tempo que fiz as grades de Cálculo I, o que às vezes me faz tropeçar nas propriedades e conceitos dessa área. Eu sabia que havia algum problema com a minha resolução, por isso deixei o alerta no primeiro post, mas eu não sabia muito bem onde.