JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of the series

\frac{{{1^2} \cdot \;{2^2}}}{{1\;!}} + \frac{{{2^2} \cdot \;{3^2}}}{{2\;!}} + \frac{{{3^2} \cdot \;{4^2}}}{{3\;!}} + \ldots ,

View answer and explanation

Correct option: A

27e

Option A (

27e

) is correct because the series can be decomposed into sums involving

e

, resulting in

27e

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