Limit question

1. Sep 28, 2011

Miike012

Lim 1/x - 1/abs(x)
x -->0-

= 2/x

as x approaches 0- , 2/x approaches neg infinity...

why isnt this correct? the answer is does not exist.

2. Sep 28, 2011

verty

What is the limit from the right?

3. Sep 28, 2011

HallsofIvy

That is right. "Infinity" is not a number. Saying that a limit is "infinity" or "negative infinity" is just saying that the limit does not exist for a particular reason.

verty, the limit from the right is not relevant. The problem specifically asks for the limit from the left: $\lim_{x\to 0^-}$.

4. Sep 28, 2011

verty

I apologise, I thought Mike was asking, why isn't this the limit, but he meant, why isn't this the one-sided limit.