answer questoin number 2 (abc) please Determine the convergence of the sequences

Question

answer questoin number 2 (abc) please

Determine the convergence of the sequences. If convergent, find the limit. An = e3n/2n+3 an = 9n+1/10n Determine if the series converge or diverge. If convergent, find the sum. (-1)n32n/5n 4/n2-1 3-ncos npi Determine if the following series converge or diverge. n3 + 1/2n4 + n + 1 (-1)n/n2n arctan n Consider the sequence given recursively by a1 = 3 and an+1 = 1/4 - an. Suppose it is given that the sequence satisfies 0 an 3 for all n and is decreasing. Deduce the sequence is convergent and find the limit. How many terms of series 1/n(ln n)3 are needed to estimate the sum to 4 decimal places? Determine whether the following sequence is absolutely convergent, conditionally

Explanation / Answer

1. divergent

2. convergent = 0

3. convergent =0

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