JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Understanding +4 | -1

Let

f(x)=\left[\frac{\sin x}{x}\right], x \neq 0

, where [.] denotes the greatest integer function then

\lim \limits_{{x \rightarrow 0}} f(x)

View answer and explanation

Correct option: C

Is equal to 0

Option C (Is equal to 0) is correct because as x approaches 0,

\frac{\sin x}{x}

approaches 1, but remains less than 1, so the greatest integer function of it is 0.

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