limit question

Asked by Kirandoon | 11th Sep, 2008, 01:48: PM

Expert Answer:

we know that |x| = x for x>0 and -x for x<0

for R.H.L. limx->0+ x / |x| = limx->0+ x / x  = 1

for L.H.L. limx->0- x / |x| = limx->0- x / (-x)  = -1

since R.H.L is not equal to L.H.L

so limit of this expression does not exist

Answered by  | 12th Sep, 2008, 02:29: PM

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