Homework Help: Simple question on limit

1. Dec 27, 2006

ratios

Hello all,

I don't understand why |h|/h will become -1 as h approches 0 from the left. I can see how the numerator becomes negative, as |x| = -x if x< 0, but shouldn't the denominator become negative also since h < 0 when we approach 0 from the left? So why isn't the answer -h/-h = 1?

2. Dec 27, 2006

StatusX

The numerator is always positive. It's true that |x|=-x when x<0, but in that case -x>0, and |x|/x=-x/x=-1.

3. Dec 27, 2006

Hurkyl

Staff Emeritus
You see wrong. Here, -x is positive.

4. Dec 27, 2006

ratios

Okay I see. Thanks for the help!