Find the interval of convergence of the series O none of them O [-7,7] O (-7,7] O [-7,7) O (-7,7) Ž ² xn-1 Σ n=on³.7n

Q: co s(n.n) 4- The series En=1 (n+1)2 A- Converges, B- Diverges, C- None

A: ∑n=1∞cosnπn+12 Here, an=cosnπn+12=-1nn+12 Now comparing with an=-1nbn, we get bn=1n+12 Now,…

Q: Find the Maclaurin series for the given function. SELECT A) B) sin(10z) (-1)*102m+1,an (2n + 1)! 8…

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Q: Find the first three nonzero terms in the Maclaurin series of the function f(x)= e cos 4x. 1-17x +5…

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Q: Which one of the following correctly finds the Taylor Series and the Interval of Convergence about…

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Q: 12) Given a power series E anx", if lim da+1= L where 0 < L < o, then the radius an n=0 1 of…

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Q: Find the interval of convergence of the power series: E (x- 3)"-1 (-1)" 72 a) (-1, 1] b) [2, 4] c)…

A: Use ratio test for checking the convergence

Q: Obtain the sum of the seri Ean $a = -² 2 n=2 nn

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Q: Test the convergence of the series 2n2 3n²-4n n=1 sin r Evaluate lim 1-0 r3 – 2x

A: Let's find.

Q: The Maclaurin Series for the function f is given by 4x² 8x³ 16x4 + + 2 3 4 f(x) = (2x)¹+1 n+1 n=0 =…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is

Q: Prove that x Auo +. (1– x)2 (1– x)3 4ot uj x+ uzx+ + : 1- x ... Hence find the sum of the series…

A: The sum of the terms in an infinite geometric progression is calculated using the formula: Sn=a1-r,…

Q: а) nyn n=1 Σ >(-1)n+1 п c) 2" n=1 00 e) 2(-1)n+1, en n=1

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Q: T2N-1 2. Let an The series E=1an is: e2n+1° 2=D1 A) Geometric series with r > 1. 2 an+1 B) Divergent…

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Q: The series ( -1)n √n¹ + 2n +5 is nª n=1 O Absolutely Convergent O Conditionally Convergent Divergent…

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Q: (2х- 1)" ? Which of the following statements are false for the power series n3 n=1 I: Series is…

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Q: Find the interval of convergence for the series x + 5 27x3 81x4 + 7 +.. 9 O (1/3) <x s (1/3) О 113)…

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Q: Find the interval of convergence of the series xn Σ n8" n=1

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