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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
23  !+45  !+67  !+…\frac{2}{{3\;!}} + \frac{4}{{5\;!}} + \frac{6}{{7\;!}} + \ldots is equal to
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Correct option: B
e−1{e^{ - 1}}
Option B (e−1{e^{ - 1}}) is correct because the given series can be expressed as an alternating series related to the expansion of e−1e^{-1}.

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