2n b. ) (2n)! n=1

Q: 8. n-1 n2 +1 n=1

A:

Q: 1 Σ 16п2 — 8n — 3 n=1 n=]

A:

Q: b. Solve the convergence of the following series by using the Ratio Test: 1. En=1(-1)"n+2 ii. En=1…

A: Solution: The objective is to determine whether the given series is converges

Q: Test the convergence of the following series. (a) Σ*, 1 (b) Σπ=1 2 (c) Σπι (d) Σ*-11+n=

A: We have to check convergency of given series

Q: Determine whether the series converges or diverges. ∞ ∑…

A:

Q: Which series given below converge conditionally. (-1)" n=2 n²+1 (-1)" 2 Inn 1) E-2 00 II) E, (-1)"…

A: For details solution see the  answer below

Q: 1. Determine if the following series converges or diverges? 8. (e") (n - 2)!

A: From the given problem:   ∑n=3∞e4nn-2!   So, we can write as:   ∑n=3∞e4nn-2!=∑n=3∞e8e4n-8n-2!   Now…

Q: Q1) Which of the series converge, and which diverge? Give reasons for your answers. In(n²) 1) En=2…

A:

Q: 2. Determine if the following series converge or diverge. Explain your answer. ( a) Σ-() n%31 ( b)…

A: To check the nature of the given series.

Q: Does the series converge or diverge?

A:

Q: (-1)" Vn + 2 n=1

A:

Q: 1. Use the Alternating Series Test to determine whether the series Σ(-1)"+¹ converges absolutely,…

A: Alternating Series Test: A series ∑an where an=-1n+1bn where bn≥0, ∀n is convergent if (i)…

Q: Find out whether the series given below converges or diverges. 1 Σ 2 n=3 nyn - 2

A:

Q: 1. Determine if the following series converges or diverges? (etn) 4 (n- 2)! n=3

A:

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7メー1 k=1

A:

Q: 2. Determine if the following series converge; if they do, find their sum. (1) E()" n=1 1 ( b) Σ n²…

A:

Q: Could I get help with parts A-D?

A: According to the given information it is required to check whether the given series is absolutely…

Q: Q1) Which of the series converge, and which diverge? Give reasons for your answers. In(n2) 1 ) Σn-2…

A: Series test

Q: Determine if the series diverges, or converges absolutely or conditionally. ek b) 2 Kšk! 00 k=1

A:

Q: Determine if the following series converge or diverge (n + 1)2 n(n+2)' (») Ž (b) E (a) VI+r? n=1 2.

A: In the given question we have to check the convergence and divergence of the given two series. for…

Q: Show that the series converges.  What is the value of the series?   from n=2 to infinity.…

A: We have to Show that the series converges.  What is the value of the series?Series is given below:

Q: 12) Determine whether the series converges absolutely or conditionally, or diverges: (-1)n+1 nyn…

A:

Q: Does the series converge absolutely, converge conditionally, or diverge?

A: The given series is

Q: n=1 (-1)"(n² + 1) (e) 2n2 +n - 1 n=1

A: we have to test whether the given series is convergent or divergent. For this we can use divergent…

Q: 2" Does the series converge or diverge? 5n n=1

A: if GP has common ratio has less than 1  then series is convergent

Q: (4x – 2)2n+1 2)²n+ Σ n! n=0

A: The given series is: ∑n=0∞an where an=(4x-2)2n+1n!

Q: n² – 4n +1 n3 + 2n² n=1

A:

Q: Does this series converge? ∞ Σ      ((n^5)+ 4n)/ ((n^6) + 3n + 5) n=1

A: Answer

Q: 1. Determine if the following series converges or diverges? (e*") (п- 2)! n=3

A: Use Ratio Test to check whether series Converges or Divergences.

Q: Determine if the following series converges or diverges? Σ (e*n) (п - 2)! n=3

A:

Q: Does the series converge absolutely, converge conditionally, or diverge?

A: The given series is

Q: 1. Determine if the following series converges or diverges? Σ (e") (n – 2)! n=3

A: here i use ratio test for series

Q: Does the series E(- 1)n+12+h converge absolutely, converge conditionally, or diverge? n= 1

A:

Q: Does the following series converge or diverge? Give reasons for your answer. 12"n!n! Σ (2n)! 00 n =…

A:

Q: Determine whether the series converges or diverges. 12n2 - 8 4 n + 7 n = 1

A: Given: un=12n2-8n4+7 To prove that the given series is convergent or divergent Limit Convergent…

Q: Does the series converge or diverge? n=1 (In 1.5)"

A: We will use ratio test to find convergency.

Q: Using the Ratio test, determine the convergence of the given series: n(3n + 1) In(n² + 5) (n + 2)…

A: The function is given as, an=n3n+1lnn2+5n+22n+55n Calculate the (n+1)th term,…

Q: Consider the series (-1"n3 Σ n=1 n3+10 the alternating test tells The series is divergent Nothing…

A: The given series is ∑n=1∞-1nn3n3+10.

Q: 1. Determine if the following series converges or diverges and justify your claim: -1)" /ñ (3n)! (n*…

A:

Q: Determine whether the series converges or diverges. n2 + n + 1 n4 + n? n = 1

A:

Q: Does the series converge or diverge?

A: The given series,

Q: A. absolutely convergent B. conditionally convergent C. divergent

A:

Q: 00 (3х — 2)2n+1 Σ 00 а) b) Σ (-4)" (x+ 3)" . /2n п! n=0 n=1

A: we have to find the radius and interval of convergence

Q: 3. Find out whether the series given below converges or diverges. 1 n=1 4yn + * 4" - 3"

A:

Q: Determine whether the following series converge or diverge. Justify your answer completely. 1 2 2n…

A: We simplify the given equation and test the convergence.

Q: e8/n Σ 7 = 1

A: Given query is to find series converges or diverges.

Q: a) Show that the following series converges conditionally. n2 E(-1)"+1, n° +2

A: Since you have asked multiple questions, as per our guidelines we are solving the first one for you.…