Question: Given a series n = 1 n 2 1 x 2 n 1 and let 0 a < 0 Show that the sum function of

Given a series n=1n21x2n1 and let 0a<0

Show that the sum function of the series f:[a,a]R is differentiable and that

f(x)=1x22 for x[a,a]

I have shown that it is uniformly convergent on the interval, and I cannot use log to show that it is differentiable.

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