Consider the following: 1 2n an (tan-1 n) 1. Determine if the following sequence, {an}n=1, diverges or converges. 2. Is En=1an (a series) divergent or convergent? Explain why. 00 un=:

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Q: Given: an = In(n + 1) – In(n) for n EN Determine if Lan is convergent or divergent. n=1

A: Given an = ln(n+1) - ln(n) We want to check convergence of ∑n=1an

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Q: Given: an = In(n + 1) – In(n) for n E N Determine if {an}n=1 is convergent or divergent.

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