Find a function f(x) defined on (-1,1) that has the following Taylor series expansion at x...

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Find a function f(x) defined on (-1,1) that has the following Taylor series expansion at x = 0: (Hint: The above series is a term-by-term integration of the series which is a geometric series and converges for a (-1, 1).) n=0 (-1)+1 n=1 n - Find a function f(x) defined on (-1,1) that has the following Taylor series expansion at x = 0: (Hint: The above series is a term-by-term integration of the series which is a geometric series and converges for a (-1, 1).) n=0 (-1)+1 n=1 n -