JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

L=\lim \limits_{{x \rightarrow 4}}\left(\frac{\log _5\left(\frac{5 x}{4}\right)}{\log _5 \frac{20}{x}}\right)^{\left(\log _5 \frac{x}{4}\right)^{-1}}

,then [L] is (where [.] denotes greatest integer function)

View answer and explanation

Correct option: B

Option B (7) is correct because the limit L evaluates to

e^2

, and the greatest integer function of

e^2

is 7.

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