Question: the question is below: 3. The function f(x) = Jo el dt has a power series expansion -2n+1 f (x) = > (2n + 1)n!

 the question is below: 3. The function f(x) = Jo el

the question is below:

dt has a power series expansion -2n+1 f (x) = > (2n

3. The function f(x) = Jo el dt has a power series expansion -2n+1 f (x) = > (2n + 1)n! for all x E R. (a) (4 points.) Use the degree three Taylor polynomial centred at 0 for f(x) to approximate feldt. (You do not need to give any error bound.) (b) (2 points.) What is f(5)(0)? Briefly justify your

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