JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\lim \limits_{{n \rightarrow \infty}}\left(\frac{\sqrt[n]{a}+\sqrt[n]{b}}{2}\right)^n, a, b > 0

equals

View answer and explanation

Correct option: B

\sqrt{a b}

Option B (

\sqrt{ab}

) is correct because the limit can be evaluated by using the exponential form and properties of logarithms.

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