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Unexpected Sum
Problem
Find the exact value of the following infinite series:
$$\dfrac{1}{2!} + \dfrac{2}{3!} + \dfrac{3}{4!} + \dfrac{4}{5!} + ...$$Problem ID: 275 (21 Apr 2006) Difficulty: 3 Star
Find the exact value of the following infinite series:
$$\dfrac{1}{2!} + \dfrac{2}{3!} + \dfrac{3}{4!} + \dfrac{4}{5!} + ...$$
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