103n2 – 8 - 1. Xn := 4n2 + 99n + 3 1i. Xn := -n + Vn² + 3n 3n? + 2n iii. Xn := 2n n=1 8.

Q: Ex. Show the seguence whose nth term is In (n*) an %3D converges. 5n

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Q: 1. For each of the following sequences, determine if it converges or diverges. If it converges,…

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Q: 6 n2 State whether the sequence ɑn = converges and, if it does, find the limit. %3D V8 nt +1

A: Given : an = 6n28n4+1

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A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

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Q: 2. Determine whether the following sequence converges, and if so, find its limit. (a) {Vn² + 3n -…

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Q: Which one of the following sequences converges? OA. OB (-1)" 7 5" oc (-1)" n 7n +2 n? OD (-1)". 5n +…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first four question for you.…

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Q: Which one of the following sequences converges? OA (-1)". бл + 3 OB. (-1)"- 4n + 6 4n OC In(6n) OD…

A: if limit of an is finite then sequence is convergent

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Q: 1. Determine whether the following sequences converge or diverge. If the sequence diverges, state…

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Q: Determine whether the sequence converges or diverges. 3+5n² a. an n+n² b. - cos² n 2n

A: a.  Given an = 3 + 5n2n + n2 Here limn→∞an = limn→∞3 + 5n2n + n2              = limn→∞3n2 + 51n + 1…

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A: Option (a) is correct

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A: b

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A: We can solve this as follows:

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Q: Find the limit of the following sequence or determine that the sequence diverges. {√(4n4 + 3n)/(8n2…

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Q: Consider the recursively defined sequence s1 = 1 and sn+1 = 1 / (3-sn) for n  ≥1. i. Prove that sn…

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A: According to bartleby guidelines I can do only 4 subpart. But still I did last two sub parts.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.