n+1 S-1)**1 2" By the series test: n=1 n°

Q: Prove that the sequence ((-1)")=1 does not converge to any number.

A: Solution :- The given sequence is                          {  an }   =   { (-1)n}  then , we have to…

Q: 3 and Xn %3D 4-Xn-1 converges. %3D Prove that the sequence defined by x|

A:

Q: 51. аn 2" +3" %3D 4"

A: We have to find the limit of sequence

Q: Determine whether the sequence diverges. If it converges, find the Converges cr An- cos ( Pie, aiso…

A: To determine whether the below sequence converges or diverges. an=cosnπn+1

Q: Decide whether or not the infinite sequence is a cauchy sequence. If it is not a cauchy sequence,…

A:

Q: Determine the convergence or divergence of the sequence whose nth term is An=sqrt(n+2)-sqrt(n). If…

A:

Q: 3. Determine if each sequence converges or diverges. Find the limit of each convergent sequence.…

A: firstly check the limit of sequence at infinity. If limit is finite then sequence is convergent and…

Q: nsin(4/n) determine if the sequence converges or diverges.

A: I have given the answer in the next step. Hope you understand that

Q: What is a sequence that can be graphed that converges to 5?

A: Please find the answer in next step.

Q: Use the Monotonic Sequence Theorem to show that the sequence n 3n is convergent.

A: