JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

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

equals

View answer and explanation

Correct option: B

\sqrt{p q}

Option B (

\sqrt{pq}

) is correct because the limit can be evaluated by converting it to an exponential form and using L'Hopital's rule or series expansion.

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