n! Determine whether E- converges or diverges. Zn=0

Q: The sequence P, = (0.5)3" is convergent to zero of order and asymptotic constant respectively:…

A:

Q: Σ n=1

A: Let the given series be: ∑n=1∞an where, an=3n(n+2)!n5

Q: Does diverge? If it converges, find the value. xe da converge or

A: ∫0∞xe-x2dx

Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution.

Q: /2n?

A: The given series is: ∑n=1∞(-1)n(-1)n2n2+5=∑n=1∞(-1)2nn2+5n2=∑n=1∞1n2+5n2

Q: n? + 2h h = 1

A:

Q: (-1)* Lk=3 In k absolutely convergent, conditionally convergent, or divergent? 100

A:

Q: Which converge and diverge?

A: In this question, we have given four multivariable functions. for each of them, we have to check the…

Q: Petermine whether (-1)k converges absolutely, converges conditionally, kl/2 k=1 diverges. or

A:

Q: · E In (e + +) n = 1

A:

Q: Σ (-1)*2* Use the Ratio Test to determine whether converges absolutely diverges. or k! k=1

A:

Q: +o0 ΣΗ 1 -3 -1-n n=1

A:

Q: The series 2=1 1 k is divergent no conclusion absolutely convergent conditionally convergent

A:

Q: n" 3) > (-3)2n n=1

A: We apply here root test.

Q: Does E In n converge? n/2 n=1

A: We have to solve given problem:

Q: 6" Using the ratio test, determine if converges or diverges (n + 1)"

A:

Q: Determine whether or not the infinite series below converges.

A:

Q: (-1)k Lk=0 Vk+1

A:

Q: Show hat he following a sen) lun vergıs for any p> e (-1)" Σ nニ」 for whar value) of p is it…

A:

Q: +00 El-1)» (" – n)" 2η n=1

A:

Q: 4n Determine whether {} 5n+1 is convergent or divergent.

A: A sequence {an} is convergent if limn→∞an=l, where l is a finite real number.A sequence {an} is…

Q: K3-2

A:

Q: Determine whether r{(1+E)*"}.. Converges or diverges.

A:

Q: 1 1+ 2/2' 3/38 1 1 + 1 + ... 5/5 +

A:

Q: F) nー1

A:

Q: Using the limit comparison test, determine whether this converges or diverges

A: Now we will solve it using limit comparison test.

Q: 5. If En-1 an converges, and if an +1 and a, > 0 for all n, (a) Show that E a converges. (b) Does E1…

A: Since, the sequence is a positive monotonically decreasing sequence, so, is also monotonically…

Q: 00 Q5. Evaluate , e z dx if it converges.

A:

Q: 1 Determine if dr converges or diverges. If convergent, find its value. (In r21

A: Given: ∫0∞1x1+ln x2dx

Q: n-5 n+2

A:

Q: 9) n+3"

A: Comparison test for series of positive terms states that, If an, bn are two series such that…

Q: +00 3 E(-1)"+1, n n=1

A:

Q: 4n Determine whether Σ: 5n+1 is convergent or divergent.

A:

Q: Which test to use and is it convergent/divergent? Σ 16n2 – 8n – 3 n=1 - -

A: Use the ratio test, L=limn→∞an+1an=limn→∞116n+12-8n+1-3116n2-8n-3=limn→∞16n2-8n-316n+12-8n+1-3

Q: n+ 7) ) Σ n2 n=1

A:

Q: dx is convergent V2 1 True False 1, 8.

A:

Q: n! Use the ratio test to determine whether E=1 converges or diverges.

A:

Q: Determine f the sarles 1 ヘ-3 diverges? converges or

A:

Q: Oiscuss the Convergen ce or Divergence n? tin3 n3 -1

A:

Q: n· 3n 5n n=

A:

Q: 3k k 18.) Converge or diverge? Explain. Ek=1 5k-1,

A:

Q: The series n=4 is convergent. The term a29 of the sequence {a,) given by 2 3 4 5 5'7'9' 11 is 31 63…

A:

Q: n3" E(-1)"; 22n+1 n=1

A:

Q: Determine whether ∞∑n=1n√3 converges or diverges.

A: The given series is Now, the nth term of series is

Q: 5) Does vergent? (-1)"n Ln=1 \n³+2 converge absolutely, converge conditionally, or di-

A:

Q: Σ 1. 4n n=1

A:

Q: +00 Inn E(-1)": n2 n=2

A: Solution

Q: O Does Eo 2k+² e-k converge or diverge? If it converges find the sum. "k=1'

A:

Q: n? Use an appropriate method to determine if converges or diverges. n³ +1

A: