Q. 9 - Calculus

Question

Consider the limit expression 

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

Calculate the limit. 

Step-by-Step Solution

Answer

The limit  of the expression is 1.

Step 1. Given

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

Step 2. Calculation

From definition we have

$\underset{x\to 0}{\lim }\frac{\ln x}{x}=1$

The evaluation of the following limit is 

$\underset{x\to 0}{\lim }\frac{\ln x}{x}=1$