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Simple question on limit

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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?
 

StatusX

Homework Helper
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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.
 

Hurkyl

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I can see how the numerator becomes negative, as |x| = -x if x< 0
You see wrong. Here, -x is positive.
 
3
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Okay I see. Thanks for the help!
 

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