п — 1 n Σ 2n + 1 n=1

Q: a) Is the series Σ is Vn + n3 + 10 n=1 convergent or divergent? justify your answers. 8.

A: Dear student, As per guidelines if multiple questions are posted we are allowed to solve only ist…

Q: If k is a positive integer, find the radius of convergence, R, of the series Σ (n!)k+2 -xn ((k2)n)!…

A: It is required to calculate the radius of convergence R of the series:

Q: Determine whether the given series is convergent or divergent. +oo 5" + sin? n (a) 3n n=1 | sin n -…

A: We have to check whether given series is convergent or divergent.

Q: use the ratio test to determine whether or not the following series converges absolutely.

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Q: In the given equation as folows , use the Root Test to determine the convergence or divergence of…

A: Given : ∑n=1∞3n+2n+3n

Q: Find the radius of convergence of the series. (k!)?x* (2k)! k = 1 8.

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: Given series is ∑n=1∞1 + 18n-n

Q: a) Is the series >. is Vn + n3 + 10 n=1 convergent or divergent? justify your answers. 8.

A: We have to find the convergent test

Q: For what values of p is the series convergent? ∞ Σ(−1)n-1 (Inn)² n=2 n³

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Q: In  the given question as folows , find the values of x for which the series converges:- see the…

A: Rearrange and expand the series, ∑n=0∞3(x-4)n for n=0 and obtain 3+3∑n=1∞(x-4)n. ∑n=1∞(x-4)n is an…

Q: If k is a positive integer, find the radius of convergence, R, of the series (n!)k+ 7 -x". ((k +…

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Q: Find the radius of convergence and interval of convergence of the series. 00 (8n)! n=0 R = I =? v ?…

A: Given series is

Q: Use the test of your choice to determine whether the following series converge.

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Q: For what values of p is the series convergent? Answer (in interval notation): (Inn) Σ(-1) -1. n² n=2

A: Given ∑n=2∞(-1)n-1(ln n)pn2

Q: Indicate whether the given series converges or diverges. If it converges, find its sum. 00 17) E Wik…

A: Solved below

Q: Use the test of your choice to determine whether the following series converge.

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Q: Determine the series converges, if so, Find its cum. whe ther 1 a. (k+2) (K + 3) k = 1

A: The given series,     ∑k=1∞1k+2k+3

Q: (ax – b)" c" (n+1) ах 0=

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Q: V 23+1 Σ 3n3 + - 4n2 + 2

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Q: Use the Root Test to determine whether the series converges absolutely or diverges. k 5k? Σ k + 4 k=…

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Q: If k is a positive integer, find the radius of convergence, R, of the series (n!)k + 7 .יx - ((k +…

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Q: E(-1)". n n4 +1 n=1

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Q: Find the radius of convergence and interval of convergence of the series. (r - 8)" E(-1)" Зп + 1 n=0…

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Q: Use the integral test to determine if the series shown below converges or diverges. Be sure to check…

A: Follow next step

Q: Given the series below with a = 8 , b = 10, and c = 13 . Using interval of convergence the value of…

A: We find Radius of Convergence (ROC), then find interval of convergence.

Q: In the given question as folows  determine the convergence or divergence of the series :- see the…

A: Given: ∑n=1∞1n+1-1n+2 To check the series is convergence or divergence

Q: Use the ratio test to determine whether the series converges or diverges. If the test is…

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Q: Decide, whether the following series are convergent or not: ik? + k 2k+1 a) Σ b) E 2i (2k + 1)!" k=0…

A: Here we use only D'Almbert  ratio test.

Q: Find the radius of convergence, R, of the following series. 00 2 n!(9x - 1)" R =

A: "Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: O Find all the values of x such that the given series converges (that is, find the interval of…

A: Find the interval of radius of convergence

Q: In the question as attached here, use the Direct Comparison Test to determine the convergence or…

A: According to the direct comparison test, if an infinite series, ∑nbn converges, then the infinite…

Q: Find all values of x where the given series converges. 10"x" (n + 1) n + 9 n=1 Answer: Noto Ciuo vo…

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Q: Σ ne n=1

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Q: (b) For which real values of does each of the following series converge? Justify your answer. kkk 1.…

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Q: For what values of p is this series convergent? s(-1)" - 1 nP + 3 O p> -3 O p2 -3 O for all p O p +…

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: Use the test of your choice to determine whether the following series converge.

A: Use the test of your choice to determine whether the following series converge.

Q: What is the radius of convergence of the series below if a = 11 and b = 14. 001(1).png (ax)" Σ b"…

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Q: Given the following series: (n + 1)x²n-1 3" n=0

A: Explanation of the answer is as follows

Q: n E(-1) n n=1

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A: In this question we have to find the value of the series and whether the series is converges of…

Q: Find the radius of convergence of the series 3" Vn? + 2 -(x + 5)" In(n + 3) n=8

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Q: Use the test of your choice to determine whether the following series converge.

A: Given: ∑k=1∞ 15k-1 To determine: Given series is convergent or divergent.

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: To find by root test

Q: If the interval of convergence of a power series o CA(z + a)* is (c, d)., then the interval of…

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Q: 9 + cos n 9h n=1

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Q: 2. For what values of a does the series converge? ( a) Σ ( 2)7 , α>0. (c) 2 n(in n)[In(In n))" n=1…

A: Hi! You have posted multiple sub-parts. As per norms, we will be solving only three sub-parts. We…

Q: 1+ 4" 1+ 3" n=1

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Q: O Determine whether the following series converges or diverges. 4 + cos n 4" n=1 for convergence and…

A: Use companson TestIf ∑n-1∞ and ∑n-1∞ bn are series with non-negative termsthan (1) If ∑n-1∞ bn…

Q: Decide whether the given series are absolutely convergent , conditionally convergent or divergent.…

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