Chapter 14.1, Problem 37AYU

In Problems 23-42, graph each function. Use the graph to find the indicated limit, if it exists.

$\underset{x\to 1}{\lim }f\left(x\right),f\left(x\right)=\{\begin{array}{l}3x\text{if}x\le 1\\ x+1\text{if}x\text{>}\text{1}\end{array}$

To determine

To find: Graph of each function. Use the graph to find the indicated limit, if it exists.

Answer to Problem 37AYU

Solution:

Limit does not exists.

Explanation of Solution

Given:

$\underset{x \to 1}{\text{lim}}f(x), f(x) = \{\begin{array}{c}3x\text{ if }x \le 1\\ x + 1\text{ if x > 1}\end{array}$

$\underset{x \to 0}{\text{lim}}f(x)$ does not exists.