Q. 16 - 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 the limit $\underset{x\to -\infty }{\lim }{\tan }^{-1}x=-\frac{\pi }{2}.$

Step 1. Given Information.

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

Step 2. Value of the limit.

According to a theorem,

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