6. Does the sequence converge or diverge? If it converges, then find the limit. an- nª-3e" 2e" + nª

Q: Which of the following is the limit 00 of the sequence {a,},where an = 3? 3 8

A: The objective of the question is choose the correct option.

Q: 1) Determine whether the sequence ɑn = find the limit. (2) Hint: Ei = + converges or diverges. If it…

A: Ero mlm gg

Q: Consider the sequence a. Write out the first five terms of the sequence. a1 = a2 = a3 = a4= a5 = 9.…

A: here we have to check whether the sequence is convergent or not.

Q: , Find the limit of this sequence, or else prove that the sequence diverges: (1- 3 In n an =

A: ANSWER

Q: 5. Find the limits of the sequence with the general term as given. You need not use the definition…

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: We have a theorem which states that Given the sequence {an}, if we have a function f(x) such that…

Q: 6. Find the limit of the sequence. You should consider the behaviour of the continuous version of…

A:

Q: 3. Explain why the following sequence does not have a limit: a, = (-1)".

A: Solve the following

Q: 23. an n √n² +1

A: We take n common from the root and then apply limit to find the vale of limit.

Q: Assume that the recursively defined sequence converges and find its limit. a, = - 12, an - 1 = /24 +…

A: