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.

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I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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