*(-1)"(n² + 1) 2n2 + n – 1 n=1

Q: Use the root test to determine if the series converges or diverges. Inn n n=1 3n - 8 Diverges…

A: The solution is given as

Q: 9.

A: To determine: Using ratio test to determine whether the series converges. Given: ∑n=1∞1n! According…

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence…

A: To determine the convergence of the series ∑n=1∞ennn Concept used: The root test

Q: Use the root test to determine whether the series converges or diverges. n8 n= 5n+1 Since lim which…

A:

Q: Determine whether the series converges or diverges. n- 2 n8" n= 2 converges diverges

A: The answer is as follows:

Q: determine whether the geometric series converges or diverges. If a series converges, find its sum.

A:

Q: if the series converges absolutely, converges conditi verges nverges conditionally

A:

Q: =2 n/Inn 2 1- Wi

A: Given: ∑n=2∞1nln n To determine: The series is absolutely convergent, conditionally convergent or…

Q: Determine whether the series converges absolutely or conditionally, or diverges. n! n = 1 converges…

A:

Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum.

A:

Q: Determine whether the series converges or diverge: n4 3n5 - 2 n = 1 converges O diverges

A: We have to solve

Q: n + 5" Σ n = 1 n + 7n onv org

A:

Q: 8. (-1)" n(In n)ª

A:

Q: 2" (2n + 3 )! By the series test: n=1

A: We need to check the convergence of the series :

Q: Determine whether the series converges absolutely or conditionally, diverges. O converges…

A:

Q: Use Integral Test to determine whether the series 1 converges or diverges. (n + 2)% n=1

A:

Q: Use an appropriate test to determine whether the series is convergent or divergent.  infinity…

A: Given a series : ∑n=1∞ n2+2n-12n2+3n We need to find if it is convergent or divergent.

Q: Use the Integral Test to determine whether the series 4 converges or diverges. n=2 n(Inn)*

A:

Q: Determine the convergence or divergence of the series. n = 8 converges diverges

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

Q: 3. Verify using the Alternating series test that the series Σ(-1)", is n=1 convergent

A:

Q: Show that the series converges.

A:

Q: 3. Ek=1 00 en n"

A:

Q: 8, 3 (-1) n²+2 n%32

A: We have given a series;

Q: 00 3" n iM³

A:

Q: Determine whether the alternating series 2(-1)^*' | - Σ converges or diverges. 13 n=1

A:

Q: Determine whether the series converges absolutely or conditionally, or diverges. S (-1)" n + 3 n = 0…

A:

Q: 23 4-n+1

A: Given : ∑n=0∞3n4-n+1

Q: Determine whether the series converges absolutely or conditionally, or diverges. (-1)" n! n = 1…

A:

Q: Determine whether the series converges or diverges. n n = 9 n - 8 converges diverges

A: Given :- The series converges or diverges. ∑n=9∞ 5nn-8

Q: Use the root test to determine whether the series 7n -n - 2 3n2 +n + 4 converges or diverges. Since…

A:

Q: 5-1)"" (x-5)" n

A: Power series

Q: en k=1

A:

Q: 2. Expand 1 into a power series with center zero and determine the interval of 2 – 3x3 -…

A: We have to find the power series and determine the interval of convergence.

Q: Determine the interval of convergenee for the series 2(-1)" (2x – 3)"

A:

Q: Determine whether the series converges absolutely, converges conditionally, ges. 4n Σ(-1)", n³+1 n=2

A: Use alternating series test for checking the convergence .

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence…

A:

Q: Determine whether the series converges absolutely or conditionally, or diverges. 00 (-1)^ + 1 Σ n +…

A:

Q: Σ 3n 4 -n n=1 8.

A: given sequence is                                          ∑n=1∞3n 4-n we have to check the given…

Q: Determine whether the series converges or diverges. n+ 4" n-1n+ 5" converges diverges

A: ∑n=1∞n+4nn+5n=∑n=1∞4nn+5n+∑n=1∞nn+5n

Q: Use an appropriate test to determine whether the series converges. 1 Σ 3 k=2 vk° - 2k+4 By the this…

A: The given series is: ∑k=2∞1k3-2k+4 Let, ak=1k3-2k+4,k>1    =1k321-2k2+4k3 and bk=1k32 So,…

Q: Use the root test to determine whether the series 2n 4n + 9 converges or diverges. 9n + 2 n=1 Since…

A: Root test : Suppose that we have series ∑ an .Define,                 L = limn→∞ ann = limn→∞ an1n.…

Q: Determine whether the series is convergent or divergent. n= 1 convergent divergent If it is…

A:

Q: 2n²(-1)" En=1 3n2+4n+1

A: given series is                                                         ∑n=1∞2n2(-1)n3n2+4n+1…

Q: Determine whether the series converges or diverges. arctan(4n) n2.5 n-1 O converges O diverges

A: The given series

Q: n! b. n=1 23n Converges absolutely or Converges conditionally or Diverges (circle one) Test used:

A:

Q: Determine whether the series converges absolutely, converges conditionally, Fully justify your…

A: Let given series be

Q: Determine if the series converges or diverges. 00 Σ n=1 n! The series (coverges/diverges) using the…

A: We have to find, the series is divergent or convergence.

Q: Determine whether the series converges or diverges. n + 2 Σ nvn n = 1 converges O diverges

A: Given ∑n=1∞n+2nn We need to find whether it converges or diverges If the sum of a series equals a…

Q: Determine whether the given series is absolutely convergent, conditionally convergent or divergent.…

A:

Q: Determine whether the series is convergent or divergent. ke-9k k = 1 To receive any credit, your…

A: I use limit test to check series converges or diverges