JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of the series

\frac{{{1^2} \cdot 2}}{{1\;!}} + \frac{{{2^2} \cdot 3}}{{2\;!}} + \frac{{{3^2} \cdot 4}}{{3\;!}} + \frac{{{4^2} \cdot 5}}{{4\;!}} + \ldots ,

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Correct option: C

7e

Option C (

7e

) is correct because the series can be decomposed and simplified to a sum involving the exponential constant e.

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