Limit of quadratic over linear, undefined:

We see that we can factor and cancel, except at x = -5, where the denominator approaches 0 and the ratio is undefined: .

From the Theorem of Limits, we see that we can explore the limit from the left and the limit from the right. Then we shall decide whether they are equal.

From the left:

From the right:

Since , or the limit from the left equals the limit from the right, the original limit, L, exists: .