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Testing Series for Convergence

Test for convergence or divergence

1.) sum from n=1 to infinity of (e^1/n)/(n^2)

2.) sum from j=1 to infinity of (-1)^j * ((sqrt j)/(j+5))

3.) sum from n=2 to infinity of (1/((1+n)^(ln n))

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Solution Summary

Series are tested for convergence. The solution is detailed and well presented.