Evaluating the limit at infinity find horizontal asymptote

The video tutorial explains how to determine horizontal asymptotes when evaluating limits as x approaches infinity. It begins by introducing the concept of limits and horizontal asymptotes, then emphasizes the importance of rewriting functions in descending power order. The tutorial proceeds to compare the degrees of the numerator and denominator to determine the horizontal asymptote. Finally, it demonstrates how to calculate the limit as x approaches infinity, concluding that the limit equals zero when the degree of the numerator is less than that of the denominator.

Explain the process of rewriting a function in descending power order.

How do you determine the horizontal asymptote when comparing the degrees of the numerator and denominator?

What does it mean when the degree in the numerator is less than the degree in the denominator?

What is the significance of the horizontal asymptote in relation to limits as x approaches infinity?

What is the limit of the function as x approaches infinity in the given example?