6n + 2 6n+2 Let > and an 5" 5" n=1 an+1 a) Find lim n-0 an 6n+2 b) Determine whether 2 is convergent or 5" n =1 divergent (show all vour works) 8

Q: If 2 a, is convergent with positive terms n=1 is it true that sin (a,) is also n=1 convergent?…

A:

Q: Determine whether the following improper integral is convergent or divergent. Show your work +0o…

A:

Q: Use the root test to determine whether convergent or divergent from k=1 and ♾ of (9k+2/16k+1)^-k/2

A:

Q: 1. (x² + 1)² dr

A:

Q: exmine if HS Convergent or divergent a) 2n²+3 8n7 7ntG

A:

Q: show if it converges or diverges ∑(sqrt(n+1) - sqrt(n))/sqrt(n2+n)

A:

Q: Find the limit of the sequence {an} = {-Yón}. Enter as an exact value. V 4n+1 limn→o An help…

A: To find the limit of a given sequence.  {an}.

Q: e series for converger (-1) 173V 72%3D n=1

A:

Q: why sequence Xnk approaches +infinity and why sequence Xmk approaches -infinity. Why would one use…

A: To determine whether the sequence ( n sin(n) ) is divergent and whether the limit approaches…

Q: gence of a sequence, prove that the following statements are true. (a) lim 2n+1 5n+4 nx (b) lim 2²…

A:

Q: 17. Divergent or convergent? If convergent, show the lim n3 + 2 an 2n3 + 1

A:

Q: Write out the first five terms of the sequence (n+4)² determine whether the sequence converges, and…

A: Given limn→∞-1n-1n+42

Q: 1 6t dt i. e6t – 1

A: # we are entitled to solve one question at time, please resubmit the other if you wish to get it…

Q: Σ k^ +k+k? uk=1 3k2-3k+7 100 converge or diverge?

A:

Q: Sigma( 2+√k)÷((k+1)^3-1)check whether the given question is convergent or divergent by limit…

A: Given

Q: Does the sequence { an} converge or diverge? Find the limit if the sequence is convergent. 5n? an…

A: If the limit of the nth term of a sequence is a finite number L as n tends to infinity, then the…

Q: Determine whether the following statement is true or false. If the statement is true, prove it, and,…

A:

Q: converges or div rge 2n+ Sinln)

A: The given series is  ∑n=1∞ 12n+sinn We have to check whether the series converges or diverges.

Q: 33,3.333,..., where the nth number in the sequence is sequence is Σ (13)

A: