Q. 13 - Calculus

Question

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

$\underset{x\to 0^{+}}{\lim }\ln x=?$

Step-by-Step Solution

Answer

The value of the limit $\underset{x\to 0^{+}}{\lim }\ln x=-\infty .$

Step 1. Given Information.

The given limit is $\underset{x\to 0^{+}}{\lim }\ln x.$

Step 2. Value of the limit.

On applying the common limit,

$\underset{x\to 0+}{\lim }\left(\ln \right(x\left)\right)=-\infty$