(п +2)(х — 3)" Find the values of z for which the series2(-1)". п(n + 1)5" converges.

Q: (10x)" 1. E n=1 (x - 5)" 2. (5)" n=1 (x-5)" 3. (n!)5" n!(10x - 5)" 4. 5" A. 10 В. О C. 00 D. 5

A: We use the Ratio test to solve the given question.

Q: (п - 2)аn+1(2х — 3)п+1 + > ап-1 (2х — 3)"-1 n=0 n=2

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Q: For number 7, can you show why C= 3-ln4 when x=3. And can you show why the series diverges when x=5?

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Q: For the series 1 1 1 + + 2 4 8 - - lim — It is clear that 1 + ... + 2" + :

A: Given series is a G.P. series having common ratio 1/2 and firts term 1/2.

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Q: (-1)";6n+1 6n + 1 Write an equivalent series of the series 2 with the index of summation 0=מ…

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Q: (-1)"(2x + 4)" The power series n² 8" n=0

A: Given: ∑n=0∞-1n2x+4nn28n

Q: (-1)"62n+1 (2n+1)! А. 6 — 3! 63 65 * +...+ +... = 5! 7! В. 1 + (극)2 + (금)3 + (극)4 +…+ (금)" + … = +

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Q: У (п — 2)аn+1 (2х — 3)"+1 + > aп-1(2х — 3)"-1 n=0 n=2

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Q: The series 0 Cn (x+4)" converges for x = 0 and diverges for x = 3. Circle/indicate the correct…

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Q: Suppose Ec,(x– 1)" converges when x = 3 and diverges when x = -6, What can we say about the series E…

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Q: Find all the values of x such that the given series would converge. Note: Give your answer in…

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Q: Consider the series 00 (-1)" n=1 Use the drop-down menus to complete the following statement. 00 00…

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Q: Let 2 (-1)** 'ak be a convergent alternating series with terms that are nonincreasing in magnitude.…

A: We have to find the upper bound for  error.

Q: Σ (-1)"(x+ 4)" Find the interval of convergence of the power series

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A: We have to find the smallest number of k such that the error bound would guarantee an error of not…

Q: n2 series E(-1)"+1- converges or n3 +1 n=1

A: Given

Q: Determine if the following series converges or diverges.

A: According to the guidelines of our company, I can only answer first question, since you have asked…

Q: find the sum of 1x (2-6) X (2-60²) + 2X (3-w) x (2- -+ (9-1'x (m-w) x (m-10²); ها Buln rest of Orite

A: A