For all x-values for which it converges, the function f is defined by the series f(x) =
Chapter 9, Problem 46(choose chapter or problem)
For all x-values for which it converges, the function f is defined by the series f(x) = + n=0 xn n! . (a) What is f(0)? (b) What is the domain of f? (c) Assuming that f can be calculated by differentiating the 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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