# Evaluate ( limit as x approaches 1 of x^3-1)/(|x-1|)

Consider the left sided limit.
Make a table to show the behavior of the function as approaches from the left.
As the values approach , the function values approach . Thus, the limit of as approaches from the left is .
Consider the right sided limit.
Make a table to show the behavior of the function as approaches from the right.
As the values approach , the function values approach . Thus, the limit of as approaches from the right is .
Since the left sided and right sided limits are not equal, the limit does not exist.
Evaluate ( limit as x approaches 1 of x^3-1)/(|x-1|)