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How to transform $\sum_{n=2}^\infty n^2x^n$ to $\sum_{n=1}^\infty nx^n$

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Let $f$ and $g$ denote the two sums. Then $g(x)= \int_0^x \frac {f(t)} t dt$.

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  • $\begingroup$ The question is very ambiguous... but the (correct) way you answer should be less allusive by giving names $f(x)=...$, $g(x)=...$,and writing it $g(x)=\int \dfrac{f(x)}{x}dx$ $\endgroup$ – Jean Marie Apr 5 at 12:21

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