Question: questions

guys please help me with this questions. instruction:determine whether the following converge or diverge {n/n+1} (∑)(2^(n))/(n^(2)) (∑)((n!)^(2))/((2n)!) (∑) (n.3^(2n))/(5^(n-1)) (∑) (-1)^(n+1) n/(n^(2)+4) sum((-1)^n*n*(1/(ln*n)), n = 2 .. infinity) determine where the following power series converge: sum(n*x^n/(n^2+1), n = 2 .. infinity) (∑)(1.3.5.7...(2n-1))/(3.6.9.12...3n)(x-2)^(n) please
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