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Sequences And Series

JEE Main 2021 (Online) 1st September Evening Shift

MCQ+4 / -12021
Let Sn = 1 . (n \(-\) 1) + 2 . (n \(-\) 2) + 3 . (n \(-\) 3) + ..... + (n \(-\) 1) . 1, n \(\ge\) 4.

The sum \(\sum\limits_{n = 4}^\infty {\left( {{{2{S_n}} \over {n!}} - {1 \over {(n - 2)!}}} \right)}\) is equal to :

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