Chapter 11, Problem 42CR

To determine

To evaluate: the graph of the function and evaluating the corresponding one-sided limits and then determine the one sided limits.

Answer to Problem 42CR

The limit is 0.3333.

Explanation of Solution

Given:

  $\underset{x\to 0}{\lim }\frac{\left|x\right|}{3x}$

It is given that

  $\underset{x\to 0}{\lim }\frac{\left|x\right|}{3x}$

The graph of the above function is shown below,

  

So, it can be seen from the given graph that limit is 0.3333.