$\mathop {\lim }\limits_{x \to 1} {\left( {\log ex} \right)^{1/\log x}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\lim\limits_{x \to 1} {\left( {\log ex} \right)^{1/\log x}}

is equal to

View answer and explanation

Correct option: B

e

Option B (

e

) is correct because by rewriting the expression and using the limit definition of

e

, the limit evaluates to

e

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