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


Evaluate the following limits. (Note the negative sign in parts (a), (b), and (c).)

  1. The dominant term is in the denominator.
    As , the fraction gets closer to .

  1. The dominant term is in the numerator (square root of is ) and in the denominator, so the answer is the ratio of the coefficients.

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

  1. Is the graph approaching the SAME height from both sides?

  1. What height is the graph approaching as ?