# How do you evaluate the limit of #lim (x+2)/(x^2-4)# as #x->-2#?

Factor the denominator and cancel like factors or use L'Hôpital's rule ; either way works.

Factor the denominator:

Cancel common factors:

Evaluate at the limit.

Use L'Hôpital's rule

The derivative of the numerator:

The derivative of the denominator:

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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