# Limit doesn't make sense according to the graph?

1. Nov 1, 2012

### tahayassen

From first principles,

$$\underset { x\rightarrow { 0 }^{ + } }{ lim } |x|=1\\ \underset { x\rightarrow { 0 }^{ - } }{ lim } |x|=-1$$

But if you look at the graph of |x|, it appears that both limits are approaching 0.

O_O

2. Nov 1, 2012

### arildno

Incorrect. Why do you think so???

3. Nov 1, 2012

### tahayassen

Are the limits incorrect? My textbook has the proof.

I'll post it as soon as possible.

4. Nov 1, 2012

### arildno

Are you sure you are notr talking about the DERIVATIVE of the absolute value function??

5. Nov 1, 2012

### tahayassen

Makes so much sense! Thanks.