JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

The value of

\frac{1}{{2!}} + \frac{2}{{3!}} + ... + \frac{{999}}{{1000!}}

is equal to

View answer and explanation

Correct option: A

\frac{{1000! - 1}}{{1000!}}

Option A (

\frac{{1000! - 1}}{{1000!}}

) is correct because the series telescopes, leaving only the first term and the negative of the last term.

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