Differentiation of series – math.stackexchange.com

Differentiation of series – math.stackexchange.com

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Let $$f(x)=\sum_{n=0}^{\infty}\frac{1}{(n+1)3^n}x^{n+1}=x+\frac{x^2}{6}+\frac{x^3}{27}+\frac{x^4}{108}+\cdots$$ The question asked me to use the knowledge of series to compute $f'(2).$ How should I ...

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