### Home > PC > Chapter 8 > Lesson 8.1.2 > Problem 8-24

8-24.

The dominant term is in the denominator.

As *x*→∞, the fraction gets closer to 0.

The dominant term is |*x*| in the numerator (square root of *x*^{2} is |*x*|) and *x* in the denominator, so the answer is the ratio of the coefficients.

The cosine function oscillates between 1 and −1 forever. Since a limit must approach a single height, the limit does not exist.

Is the graph approaching the SAME height from both sides?

What height is the graph approaching as *x*→0^{+}?