JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum of the series

\frac{1}{{2!}} + \frac{1}{{4!}} + \frac{1}{{6!}} + \ldots

is equal to

View answer and explanation

Correct option: B

\frac{{{{\left( {e - 1} \right)}^2}}}{{2e}}

Option B (

\frac{{{{\left( {e - 1} \right)}^2}}}{{2e}}

) is correct because the series can be expressed in terms of e and simplified to this expression.

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