The value of $\mathop {\lim }\limits_{x \to 1} {\left( {{{\log }_2}2x} \right)^{{{\log }_x}5}}$ is

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

The value of

\lim\limits_{x \to 1} {\left( {{{\log }_2}2x} \right)^{{{\log }_x}5}}

View answer and explanation

Correct option: B

{e^{{{\log }_2}5}}

Option B (

{e^{{{\log }_2}5}}

) is correct because after applying logarithmic properties and simplifying, the limit evaluates to

{e^{{{\log }_2}5}}

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