Series 2

Algebra Level 3

We define f(x)=n=01xn \displaystyle f(x)=\sum_{n=0}^{\infty}\frac{1}{x^{n}} such that it is finite. Find x=2f(x)x2\displaystyle\sum_{x=2}^{\infty}\frac{f(x)}{x^{2}} .

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