Question: Exercise 1: Let f (x) = 2e2+. (a) Find T3(x), the third degree Taylor polynomial of f (x) centered at x = O. (b)

Exercise 1: Let f (x) = 2e2+. (a) Find T3(x), the third degree Taylor polynomial of f (x) centered at x = O. (b) Use your answer to (a) to estimate 2e. Leave your answer as a fraction. (c) Use your answer to (a) to estimate 2e2 dx. Leave your answer as a fraction. Exercise 2: Use Taylor series to find the 10th derivative of f (x) = cos(x2) at x = O.

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