Question

evaluate the limit x-->0 |x|/x^3

Answer 1

which direction ?

Answer 2

sorry limit when x approaches 0 from the left

Answer 3

maybe it doesn't matter since the limit doesn't exist in any case

Answer 4

from the left you get minus infinity , since if x<0 |x|=-x and you get
\[\frac{-x}{x^3}=-\frac{1}{x^2}\] limit is minus infinity