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How do I prove that ∑(n=1) to ∞ nx^n, |x|<1, is equal to x/(1-x)^2?The proof should manipulate the finite partial sums and then take a limit?

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  • How do I prove that ∑(n=1) to ∞ nx^n, |x|<1, is equal to x/(1-x)^2?The proof should manipulate the finite partial sums and then take a limit?


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Power rule. If f: R → R {\displaystyle f:\mathbb {R} \rightarrow \mathbb {R} } is a function such that f (x) = x r {\displaystyle f(x)=x^{r ...
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Positive: 91 %
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Positive: 88 %

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