In this video the concept of limits when x approaches infinity or negative infinity is explained. The objectives are to understand the idea of limits and asymptotes, learn and apply methods like L'Hopital's rule, and explore the assimilative behavior of functions when x approaches infinity. The video reviews the concept of limits, explaining that a function has a horizontal asymptote if it gets closer and closer to a value as x becomes larger or smaller. An example is provided to illustrate how to find the limit of a function using the substitution rule and division by the maximum power of x. Finally, the video introduces a rule for simplifying the process of finding limits, known as the degree rule, which involves comparing the degrees of the numerator and denominator of a fraction.
15:36 · 2023