59. Let S = cnn! nn where c is a constant. n=1 (a) Prove that S converges absolutely if |c| < e and diverges if |c| > e. en n! √27. Verify this numerically. n→∞nn+1/2 (c) Use the Limit Comparison Test to prove that S diverges for c = e. (b) It is known that lim

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