JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

x = 1 + 2 + \frac{4}{{2!}} + \frac{8}{{3!}} + \frac{{16}}{{4!}} + \ldots

, then

{x^{ - 1}}

is equal to

View answer and explanation

Correct option: A

{e^{ - 2}}

Option A (

{e^{ - 2}}

) is correct because the given series is the expansion of e², and the inverse is therefore e^-2.

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