Question

Why is the limit of x divided by the absolute value of x as x approaches 0 equal to 1?

How does that work?

Answer 1

Ahh im sorry...

Answer 2

I meant as x approaches 0

Answer 3

\[\lim_{x \rightarrow 0}\frac{x }{ \left| x \right| }\] you mean?

Answer 4

yes

Answer 5

split it x>0 and x<0

Answer 6

you see?

Answer 7

Wouldn't that make it undefined or D.N.E.

Answer 8

limitation means that it is not exact value at that point

Answer 9

Ok, so as I am approaching 0, I could replace it withe 0.1 0.01 and so on, and I would get 1 as the limit every time.