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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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1+log⁡22+(log⁡e2)22  !+(log⁡e2)33  !+…1 + {\log _2}2 + \frac{{{{\left( {{{\log }_e}2} \right)}^2}}}{{2\;!}} + \frac{{{{\left( {{{\log }_e}2} \right)}^3}}}{{3\;!}} + \ldots is equal to
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Correct option: A
22
Option A (2) is correct because the given series is the expansion of exe^x where x is loge2log_e 2.

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