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Home > PC > Chapter 8 > Lesson 8.1.2 > Problem 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 x2 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+?