$\mathop \sum \limits_{n = 1}^\infty \frac{{2{n^2} + n + 1}}{{n!}}$ is equal to

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

\sum \limits_{n = 1}^\infty \frac{{2{n^2} + n + 1}}{{n!}}

is equal to

View answer and explanation

Correct option: C

6e - 1

Option C (

6e - 1

) is correct because the series can be decomposed and expressed in terms of the exponential constant e.

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