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(Solved): 5. Suppose you know that \[ \frac{1}{1+x}=\sum_{n=0}^{\infty}(-1)^{n} x^{n}=1-x+x^{2}-x^{3}+\ldots, ...




5. Suppose you know that
\[
\frac{1}{1+x}=\sum_{n=0}^{\infty}(-1)^{n} x^{n}=1-x+x^{2}-x^{3}+\ldots, \quad-1<x<1 .
\]
(a) Find
5. Suppose you know that \[ \frac{1}{1+x}=\sum_{n=0}^{\infty}(-1)^{n} x^{n}=1-x+x^{2}-x^{3}+\ldots, \quad-1


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Here we have given 11+x=?{n=0}?(?1)nxn=1?x+x2?x3+x4???,?1
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