Q8) Considered that the function f(x) = x.e* Find the first three nonzero terms in Maclaurin series i. Compute the approximate value of function (Maclaurin series) at x = 1 and compare it with the exact value? Compute the approximate integral value of the function (Maclaurin series), ii. iii.

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A: 1. Given series is ∑n=1∞-1n8nxnn + 2 By Ratio test we get limn→∞8n+1xn+1n+1+2×n + 2xn8n < 1⇒ x…

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A: We need to determine the first four terms in the Maclaurin Series of the function f(x)=exsinx

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Q: n+1 II E-)" η III. E (-1)" 1 n+4 en In +2 n=2 n=1 n=1

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Q: Q8) Considered that the function f(x) = x. e* Find the first three nonzero terms in Maclaurin series…

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Q: In (1 + x2) lim x0 1 - cos x

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Q: 2. Find the MacLaurin series from f (x) = cos x. Use the first 5 nonzero terms to find the…

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Q: Find all the values of x such that the given series would converge. 00 x" (5)"(\n + 7) n=1 The…

A: ∑n=1∞ xn5nn+7

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Q: Express the series 9v3,9,3/3,3, V3 . in sigma notation. En=1 а. En=1 27" b. с. E, 27"-1 d. п-1 n=1…

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Q: What is the Maclaurin series of 16cos(−x)​?

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