Question: Does n = 1 nn 7 n n ! converge or diverge? Use the ratio test to decide.Let an = nn 7 n n !

Does n=1nn7nn! converge or diverge? Use the ratio test to decide.Let an=nn7nn!. Then limn|an+1an|=, so the series ? diverges converges by the ratio test.Hint: recall limx(1+1x)x=e.

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