Question

calculus 2 picture

Let
Se-
f (x) =
a) Compute f'(0) (you will have to use the definition of derivative here).
b) Compute f'(æ) if x # 0.
c) Compute f"(0) (again, you will have to use the definition of derivative
here).
d) Guess what f(n) (0) equals for every value of n.
e) What do you guess the MacLaurin series of f is equal to? Does it equal
f?

Image Transcription

Let Se- f (x) = a) Compute f'(0) (you will have to use the definition of derivative here). b) Compute f'(æ) if x # 0. c) Compute f"(0) (again, you will have to use the definition of derivative here). d) Guess what f(n) (0) equals for every value of n. e) What do you guess the MacLaurin series of f is equal to? Does it equal f?

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