Determine what the limit is for the following sequences. If you that a sequence is not convergent, write "does not converge". w: your final answers with no decimals. 1. an= In(8n + 8) – In(2n) =n sin(2/n) 2.

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A: Given:

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A: Topic:- limit calculus

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A: ∫xn dx=xn+1n+1Divergence:∫a∞1xp dx =converge  if p>1diverge    if p≤1

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A: b

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A: We know  ,  2infinitive   = infinitive                     Finite/ infinitive = 0 .

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Q: A. Consider the recursively defined sequence s1 = 1 and s+1 = 1/ (7 - Sn) for n > 1. i. Prove that…

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A: Squeeze Theorem :      If f(x)≤g(x)≤h(x) and limx→a f(x) =limx→a h(x) =L then limx→a g(x)=L.

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Q: Find the limit of the sequence a, n! 1 1 e e Divergent

A: Answer and explanation is given below..