Question

$\underset{x\to \infty }{lim}\left[{\tan }^{-1}x\right]=$ (where $[.]$ denotes greatest integer function)

• A. $1$
• B. $0$
• C. $-1$
• D. $-2$

Answer 1

The correct option is A $1$

$\underset{x\to \infty }{lim}\left[{\tan }^{-1}x\right]=\left[\frac{\pi }{2}\right]=1$