JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow \pi / 2}} \frac{\left[\frac{x}{2}\right]}{\log _e(\sin x)}

(where [.] denotes the greatest integer function)

View answer and explanation

Correct option: C

Equals 0

Option C (Equals 0) is correct because both the left-hand limit and the right-hand limit of the given expression as x approaches

\pi/2

are equal to 0.

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\lim \limits_{{x \rightarrow \infty}} x\left(e^{1 / x}-1\right)

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