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Do the following series absolutely converge, conditionally converge, or diverge: (a) sum from n=1 to (1)^n ((ln n) ^2n/ n^n) (b) sum from n=1 to

Do the following series absolutely converge, conditionally converge, or diverge:

(a) sum from n=1 to (1)^n ((ln n) ^2n/ n^n)

(b) sum from n=1 to (1)^n ( 2n)! /(n/e)^ 2n

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