${2^{1/4}} \cdot {4^{1/16}}{8^{1/48}}.....$ to $\infty$ is equal to

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

{2^{1/4}} \cdot {4^{1/16}}{8^{1/48}}.....

\infty

is equal to

View answer and explanation

Correct option: A

\sqrt{2}

Option A (

\sqrt{2}

) is the correct answer because the expression simplifies to

2^{1/2}

, which is the square root of 2.

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