1. ann- √n²-n -

Q: Prove or Disprove: Every oscillating sequence diverges.

A: To investigate the convergence (or divergence) of an oscillating sequence.

Q: (-1)"n en

A:

Q: A monotonic bounded sequence .A is convergent .B not convergent .C Oscilating .D none of above

A: Option (A) is correct.

Q: Does the sequence {a,} converge or diverge? Explain. Find the limit if the sequence is convergent.…

A: Given problem:-

Q: An increasing sequence is convergent. A True B False

A:

Q: Determine whether the given sequence is increasing, decreasing, or not monotonic; bounded below,…

A: The given sequence is  sinnπ6n=0∞ Writing the few terms of the sequence, we get…

Q: Every convergent sequence is bounded. O True O False

A: Every convergent sequence is a bounded sequence, that is the set {xn : n ∈ N} is bounded. Remark :…

Q: determine whether the sequence is monotonic,whether it is bounded, and whether it converges. an =…

A: Given the sequence an=2n-13n. To determine whether the given sequence is monotonic, whether it is…

Q: part b

A:

Q: Every increasing monotonic and sequence is convergent

A: given the sequence is increasing monotonic