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Exercise 5.4.3 (requires $4.3): Use Taylor's theorem to study the remainder term and show that for all x e R e* = n=0 n! Hint:

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Exercise 5.4.3 (requires $4.3): Use Taylor's theorem to study the remainder term and show that for all x e R e* = n=0 n! Hint: Do not differentiate the series term by term (unless you would prove that it works)

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