Complexos

por Convidado Dom 16 Abr 2017, 06:34

Compute o produto:
[1+(\frac{1+i}{2})][1+(\frac{1+i}{2})^2][1+(\frac{1+i}{2})]^{2^{2}}...[1+(\frac{1+i}{2})]^{2^{n}}

por **fantecele** Dom 16 Abr 2017, 20:20

Multiplicando e dividindo por [1 - (1+i)/2].
$\frac{[1-(\frac{1+i}{2})][1+(\frac{1+i}{2})][1+(\frac{1+i}{2})^2][1+(\frac{1+i}{2})^{2^{2}}]...[1+(\frac{1+i}{2})^{2^{n}}]}{[1-(\frac{1+i}{2})]}\\\frac{[1-(\frac{1+i}{2})^2][1+(\frac{1+i}{2})^2][1+(\frac{1+i}{2})^{2^{2}}]...[1+(\frac{1+i}{2})^{2^{n}}]}{[1-(\frac{1+i}{2})]}\\...\\\frac{[1-(\frac{1+i}{2})^{2^{n}}]}{[1-(\frac{1+i}{2})]}\\\frac{[1-(\frac{1+i}{2})^{2^{n}}]}{[(\frac{1-i}{2})]}\\(1-(\frac{1+i}{2})^{2^{n}})(1+i)$

Complexos

Complexos

Re: Complexos

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