Q. 15 - Calculus

Question

Limits of basic functions: Fill in the blanks to complete the limit rules that follow. You may assume that $k$ is positive. 

$\underset{x\to \infty }{\lim }{\tan }^{-1}x=-.$

Step-by-Step Solution

Answer

The value of $\underset{x\to \infty }{\lim }{\tan }^{-1}x=\frac{\pi }{2}.$

Step 1. Given Information.

The given function with limit is $\underset{x\to \infty }{\lim }{\tan }^{-1}x.$

Step2. Value of the limit.

According to a basic theorem,

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