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The sum of the following infinite series is: 1/1! + 1/2! + 1/3! + 1/4! + 1/5! +...

1. π
2. 1 + e
3. e − 1
4. e

Correct answer: e − 1

Solution

The series represents the Taylor expansion of the exponential function e^x evaluated at x=1, which sums to e. However, since the series starts from 1/1! instead of 1/0!, we subtract 1 from e, resulting in e - 1.

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