JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

\lim \limits_{{n \rightarrow \infty}}\left(2^{1 / 2} \cdot 2^{1 / 4} \cdot 2^{1 / 8} \ldots 2^{1 / 2^n}\right)

equals-

View answer and explanation

Correct option: B

2^1

Option B (

2^1

) is correct because the limit of the given expression simplifies to 2 raised to the power of 1, based on the sum of an infinite geometric series.

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