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

A:

Q: c) an = (-2)"

A:

Q: an = (-1)" 2√n

A: As we know ⇒-an≤an≤anThen limn→∞-an=-limn→∞an=0We have limn→∞-an=-limn→∞an=0 then by  squeeze…

Q: Find a topic relating to the Boundedness of Convergent Sequences for a final project

A: To Find: A topic relating to the Boundedness of Convergent Sequences for a final project.

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: If the following sequence converges, find its limit. If the sequence diverges, enter Ø. 2 3 + n4

A: Given that the sequence is       3 +(2/n4) Here we have to check whether the sequence is converges…

Q: {1,0,1,1,0,1,1,0,...}

A:

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: 4n+1 (e) an = (²n2+5)*

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: Given that:

Q: Show that a convergent sequence is bounded both up and down.

A: Show that a convergent sequence is bounded both up and down.

Q: is limit.

A:

Q: Every increasing monotonic and sequence is convergent

A: given the sequence is increasing monotonic

Q: + 3n –n

A: