Question: (a) Let f(x) = ex. Compute its general n-term Taylor's expansion T(x) at c = 0. Is it true that limnTn(x) = f(x) for

(a) Let f(x) = ex. Compute its general n-term Taylor's expansion T(x)

(a) Let f(x) = ex. Compute its general n-term Taylor's expansion T(x) at c = 0. Is it true that limnTn(x) = f(x) for all values of x? (b) Let g(x) == 0, " if x 0 otherwise Compute its general n-term Taylor's expansion T(x) at c = 0. Is it true that limnTn(x) = g(x) for all values of x?

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