# Suppose y=|x|/x

1. Feb 13, 2014

### grace77

Suppose y=|x|/x

I know it is a jump discontinuity but how is the point of discontinuity x=0??

2. Feb 13, 2014

### lurflurf

$$\lim_{x\rightarrow 0^-}\frac{| x |}{x} \ne \lim_{x\rightarrow 0^+}\frac{| x |}{x}$$

3. Feb 13, 2014

### Staff: Mentor

Your graph clearly shows that this function is discontinuous at x = 0.

4. Feb 13, 2014

### DrewD

What bothers you about that? Do you think the discontinuity should be somewhere else? Are you bothered about $\frac00$? Answers to these might help uncover your misconception.