Chapter 14.1, Problem 36AYU

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

$\underset{x\to 0}{\lim }f\left(x\right),f\left(x\right)=\{\begin{array}{l}x-1\text{if}x<0\\ 3x-1\text{if}x\ge \text{0}\end{array}$

To determine

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

Answer to Problem 36AYU

Solution:

$-1$

Explanation of Solution

Given:

$\underset{x \to 0}{\text{lim}}f(x), f(x) = \{\begin{array}{l}x - 1\text{ if }x < 0\hfill \\ 3x - 1\text{ if }x \ge 0\hfill \end{array}$

$\underset{x \to 0}{\text{lim}}f(x) = -1$