Need help with 2-4, thanks. (2) Determine if the series sigma n=2 to infinity (-

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Need help with 2-4, thanks.

(2) Determine if the series sigma n=2 to infinity (-1)^n (1/n ln n)^n converges absolutely, converges conditionally, or diverges. (3) Determine if the series sigma n=1 to infinity (-1)^n 2n+1/3n+2 converges absolutely, converges conditionally, or diverges. (4) Determine if the series sigma n=1 to infinity (-1)^n n+2^n/n+3^n converges absolutely, converges conditionally, or diverges. (5) (Bonus question): Determine if the series sigma n=1 to infinity (-1)^n sin 1/n converges absolutely, converges conditionally, or diverges.

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