Let f(x) denote the sum of the series wherever the series converges. Where does the series converge? Calculate (x) and f(0). What do these results imply that f(x) actually is?

Question

Let f(x) denote the sum of the series  wherever the series converges. Where does the series converge? Calculate  (x) and f(0). What do these results imply that f(x) actually is?

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The Answer of Let f(x) denote the sum of the series  wherever the series converges. Where does the series converge? Calculate  (x) and f(0). What do these results imply that f(x) actually is?

Let F(x) Denote the Sum of the Series Wherever