* (-1)"x2n+1 (2n + 1)! 57. Using Power Series Let f(x) and n=0 g(x) = § (-1)" x² (2n)! Σ %3D n=0 (a) Find the intervals of convergence of f and g. (b) Show that f'(x) = g(x) and g'(x) = -f(x). %3D (c) Identify the functions f and g.

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A: # Given series is ∑k=1∞n+1k2ka Let ft = t+1k2k

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Q: Find taylor series of func f(x)=ln(x) at a=10 (f(x)=sum from 0 to infinity cn(x-10)^n

A: Find taylor series of func f(x)=ln(x) at a=10 (f(x)=sum from 0 to infinity cn(x-10)^n

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