### Home > CALC > Chapter 3 > Lesson 3.3.3 > Problem 3-123

3-123.

Evaluate each limit. If the limit does not exist, say so but also state if is approaching positive or negative infinity.

As with all limits where

or, compare the highest-power term in the numerator with the highest-power term in the denominator. Be sure to consider coefficients.

This is Ana's method to find a derivative. If you need more guidance, refer to the hints in problem 3-110 part (b).Or you could multiply the numerator and the denominator by the conjugate of

When you evaluate at

, there is ain the denominator. Perhaps you can cancel it out. Try factoring.

Refer to the hint in part (a).