converges or diverges. I-

Q: Σ 2n n? + 2n h= 1

A:

Q: O convergent O divergent

A:

Q: 10. If * a, > 0 and an converges, then (-1)"a, diverges True False

A: Can we test the given statement as follows

Q: +o0 Σ)

A:

Q: =1 nº+1

A:

Q: If > an converges then an converges.

A: Absolutely true.

Q: Which of the sequences {a,} converge and which diverge: 1. a, = 2+ (0.1)" 2. а, 1+-

A: 1) an=2+0.1n We know that if -1<r<1 then limn→∞rn=0 So, limn→∞0.1n=0 Thus, limn→∞2+0.1n=2+0=2…

Q: converges

A: Given that: The series ∑ n = 1∞ 3+4 cos nn2 .

Q: ог Question A.) Does this CONVERGE • DIVERGE ? (~) ² M nal

A: To determine whether the given series converges or diverges.∑n=1∞ln n2n

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: Converge or diverge?

A:

Q: · E In (e + +) n = 1

A:

Q: b. b; = e* + ! 1 k

A:

Q: Determine if it converges or diverges

A: Given series is ∑k=2∞(-1)kk2k2+3k-1 expanding we can write as ∑k=2∞(-1)kk2k2+3k-1=49-917+1627-...

Q: Determine whether En=1n?e- converges or diverges.

A:

Q: 1 3. En=1 (2n+1)3

A:

Q: Determine if the following converge or diverge.

A:

Q: 3. Determine whether E (-1)" converges absolutely, conditionally or diverges. Explain.

A:

Q: If an > 0 and an converges, then (-1)"an converges. Select one: O True O False

A: Absolute Convergence test :The absolute convergence test states that, If ∑n=0∞anconverges then,…

Q: If an> 0 and Σ an converges, then Σ(-1)"an converges.

A: We have to check wheather it is true or not

Q: state whether Converges diverges

A: To state whether the given series converges/diverges. ∑n=1+∞-1nnnsinn1n2n

Q: converges or diverges. Jr

A:

Q: Σ s2 an convergent or divergent?

A:

Q: 1 1. Determine whether I = dr converges or diverges. If it converges, find its value. (6 13/17

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

A:

Q: 13 3.7 3.7.11

A:

Q: Converges absolutely Burame

A:

Q: a, > 0 and Ea, converges, then (-1)"an converges O False O True

A: This is Not True. Hence False is the correct answer. We will prove this by taking an example, Let…

Q: converge absolutely, converge conditionally,or diverge?

A:

Q: I En=1 an converges then 2a, converges.

A:

Q: Diin (n) Converges or diverges (n+4)3 21

A:

Q: If > an converges, then a converges. n=1 n=1

A:

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

A:

Q: Converges or diverges and it's sum of it diverges

A: Summation

Q: n+ 7) ) Σ n2 n=1

A:

Q: Series that diverge absolutely may conditionally converge O True O False

A: Ans is   True.

Q: 8. If (an)n-1 is a monotone sequenee, then (a,)n=1s convergent. %3D1

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you…

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

A:

Q: 은 hzl 3n+2 2n+3 h

A:

Q: ) De termine the given Segunence converges or diverges: 8.

A:

Q: n· 3n 5n n=

A:

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

A:

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

A: Solution

Q: п? + 12 6) E Зп? + 4n — 1 n=1

A:

Q: (-3)" converges or diverges. Vn Determine whether n=1

A: ∑n=1∞-3nn Here, an=-3nn

Q: Converges or Diverges?

A:

Q: Determine if the following is convergent or divergent: I dr

A:

Q: the convergenie g

A: The given series is ∑n=1∞sin(1/n). Let, an=sin(1/n). As 0 ≤ 1/n ≤ 1< π/2 , sin(1/n) ⇒ an≥0 for…