Division by Zero

Division by Zero

The limit can be +∞, −∞ or no limit.


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: + ∞.

Side Limit

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: − ∞.

Side Limit

Since the side limits do not coincide, the function has no limit as x tiende − 1.

Limit

Side Limit

Side Limit

Limit


Limit

Side Limit

Side Limit

Limit