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2. For each of the following series, find an appropriate comparative series along with its convergence/divergence behavior. For example, an = : Compare to

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2. For each of the following series, find an appropriate comparative series along with its convergence/divergence behavior. For example, an = : Compare to bn == which converges, reason: p-series, p > 1 n2+2 n (a) an (b) an = (c) an = n 1 3n+1 bn which reason: 3 1 bn which reason: 1 : bn which reason: = In (n) n (d) an = bn which reason: n4 +1 2n (e) an bn which reason: = n2n

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