X3: Which of the following series converge, and which diverge Z b) Σ=o (3).

Q: ) For what values of x do the following power series converge? G(r) = (* - 2)" n5" n=1

A: By the ratio test Let an =(x-2)n/(n5n)      |an+1|/|an| =|(x-2)n+1/((n+1)5n+1)|/|(x-2)n/(n5n)|…

Q: 1. For what values of x does the power series converge? Use ratio test. Σ 2thr" 7=0 2

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Which one of the following series is divergent? 1 (A) 1 5n +n+7 (B) n3 + Vn n=1 n=2 5 (C) 5h (D) 9n…

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Q: Q2. Show that whether the following series converges or diverges n! n=1

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Q: 4η-3 (3) Σ=c 2=0 2η5

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Q: +00 4+ cos² n 1. 3n – Vn n=1

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 30. Assume a series What can be said when: x = 2 a. an xn b. converges when x = -3 and diverges when…

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Q: The series E is (i) Diverge (ii) Converge

A: The given series is: ∑n=1∞1n45 Which is of the form ∑n=1∞1np And p-series converges if p>1 and…

Q: Q. 5 - Using the converges tests, determine whether the following series converges or diverges n=1…

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Q: 2. For each of the following series, justify briefly why it is divergent. a. E* n+2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: For what values of x does the series converge conditionally? Σ n=1 (x-3)^ √n O A. x=2, x = 4 O B.…

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Q: .2 .4 x + + 1 2! +... 3!

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Q: 4) Which of the following series diverges: n=1 b) ER=1 1 c) Σn=1n√n d) None of the above

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Q: Q No. 1: (a) To test the series for converge? 2n-n

A: 1. (a) The given series is,∑n12n-n

Q: 9: Show that the following series converges and find its sum. 1 (2k-1)²* k=1

A: Given series: ∑k=1∞12k-12 To check: The convergency of the series. To find:  Sum of the series.…

Q: C 1: Determine if the following series is convergent or divergent? a) Σn=1 (-1)+1n² n³+4

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Q: 72 (G) 3 n=1 1 (k) n(Inn)2 n=2 Inn Vn n=1

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Q: / which of the Following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

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Q: ) Investigate whether or not the following series converge. Justify your answer a. b. C. 8 k=1 00…

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Q: The following power series represent the function f(x) = 6. %3D 1+7x* E 6(-7)"x+". 4n n=0 Select…

A: Topic:  Infinite geometric series The sum of the series ∑n=0inf rn = 11-r