Question: Let f (x) = 1 + x 2 + x 4 + x 6 +. (a) Find the Taylor series expansion of f(x) at x

Let f (x) = 1 + x2 + x4 + x6 +····.

(a) Find the Taylor series expansion of f′(x) at x = 0.

(b) Find the simple formula for f′(x) not involving a series.

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