For all x-values for which it converges, the function f isdefined by the seriesf(x) =

Chapter 9, Problem 46

(choose chapter or problem)

For all x-values for which it converges, the function f isdefined by the seriesf(x) = +n=0xnn!.(a) What is f(0)?(b) What is the domain of f?(c) Assuming that f can be calculated by differentiatingthe series term-by-term, find the series for f(x).What do you notice?(d) Guess what well-known function f is.

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