Suppose the Maclaurin series f(x) is f(x) = Find the Maclaurin series for the following. f'(x) = f(4x) = 118 118 n=1 n=0 J st) at = n=0 Σ. (3) n=0 71 mm.

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Q: show why g(x) cannot be represented by a MacLauren series. g(x) = { 0 if x < 0 , x^ 3 if x ≥ 0

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A: the solution is as

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A: We will use well known maclaurin series in this question.

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A: Step 1:Step 2:Step 3:

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A: Step 1:Step 2:

Q: 5. Find the Maclaurin series for f(x) = cos(¹) Use the found series to determine the 8th derivative…

A: The solution is shown in step-2