Division by Zero
The limit can be +∞, −∞ or no limit.
Perform the side limits to determine the sign of ∞.
If x has a value that approaches −1 from the left, −1.1, both the numerator and denominator are negative and the left side limit is: + ∞.
If x has a value that approaches −1 from the right, -0.9, the numerator will be negative, the denominator positive and therefore the right side limit will be: − ∞.
Since the side limits do not coincide, the function has no limit as x − 1.