Level
pending

Let \(f\) be a function such that

\(\begin{equation} f(x)=\displaystyle \sum_{k=0}^\infty {\frac {k+1}{x^k}} \end{equation}\)

If \(f(-161)=S\), what value of \(x\) satisfies \(f(x) = \frac{1}{S}\)?

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