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.

What is the first step when dealing with limits as x approaches infinity?

• Rewrite the function in ascending power order.

• Rewrite the function in descending power order.

• Find the derivative of the function.

• Integrate the function.

What does it indicate if the degree of the numerator is less than the degree of the denominator?

• The horizontal asymptote is y = infinity.

• The horizontal asymptote is y = 1.

• The horizontal asymptote is y = 0.

• The horizontal asymptote is undefined.

If the degree of the numerator is greater than the degree of the denominator, what can be inferred about the horizontal asymptote?

• The horizontal asymptote is y = infinity.

• There is no horizontal asymptote.

• The horizontal asymptote is y = 1.

• The horizontal asymptote is y = 0.

In the given function, what is the result of the limit as x approaches infinity?

• The limit equals 0.

• The limit equals infinity.

• The limit equals 1.

• The limit is undefined.

What is the horizontal asymptote of the function 5 - 2x^(3/2) over 3x^2 - 4?

• y = infinity

• y = -1

• y = 1

• y = 0