Find the Maclaurin series for f(x) using the definition of a Maclaurin ser not show that Rn(x) → 0.] f(x) = xe3x f(x) = 00 Σ n = 1 Find the associated radius of convergence R. R = X

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A: To determine the Maclaurin series for sin x.

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A: I am attaching image so that you understand each and every step.

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A: We have;

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A: The linear property of integration: ∫[af(x)+bg(x)]dx=a∫f(x)dx+b∫g(x)dx .(1) ∫xndx=xn+1n+1. (2)…

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Q: C- prove that 1-+-- Find Maclaurin series of tan-(x). Hence

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Q: show work required to find the maclaurin series for f(x)=ln(1+x)

A: To find- Find the Maclaurin Series of fx = ln1 + x.

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: hich property justifies this statement? X-4=X-4

A: The given statement is : X-4=X-4