JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum of series

\frac{1}{2 !}-\frac{1}{3 !}+\frac{1}{4 !}-\ldots \ldots

. upto infinity is

View answer and explanation

Correct option: D

\mathrm{e}^{-1}

Option D (e⁻¹) is correct because the given series is the expansion of e^x with x = -1, minus the first two terms (1 and -1) which cancel each other.

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