Limit doesn't make sense according to the graph?

[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

 

[arildno]

Incorrect. Why do you think so?

 

[tahayassen]

Incorrect. Why do you think so?

Are the limits incorrect? My textbook has the proof.

I'll post it as soon as possible.

 

[arildno]

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

 

[tahayassen]

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

Makes so much sense! Thanks.