JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Understanding +4 | -1

The value of

\lim \limits_{{x \rightarrow-\infty}}\left[\tan ^{-1} x\right]

View answer and explanation

Correct option: A

-2

Option A (-2) is correct because as x approaches negative infinity,

\tan^{-1}x

approaches -

\frac{{\pi}}{{2}}

, and the greatest integer function of a value approaching -

\frac{{\pi}}{{2}}

is -2, since -

\frac{{\pi}}{{2}} \approx -1.57

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