Chapter 2: Limits and Derivatives.

2.6 Limits at Infinity; Horizontal Asymptotes.

Limits Part III. Limits at Infinity. See the Description below for details.

0:00 Calculus I Limits Part III Watch my other video: Limits Part I at https://youtu.be/aqs2IB28SW4 and Limits Part II at https://youtu.be/75FzRUC48Ng Limits at Infinity. End Behavior. Vertical Asymptote. Horizontal Asymptote. The Squeeze Theorem. Slant Asymptote. [Using Long Division]. Introduction with the limit of x^n when n is Odd and when n is Even as x approaches infinity. End Behavior.

5:10 Example, y = [( 2+( 1/ x^2)]

6:44 Example, y = [ 5 + (sin x / sqrt (x)) ]. Using the squeeze Theorem.

10:37 Example, y = (3 x^ 4 - 6 x^2 +x -10 ). Using the Leading Term Concept.

12:23 Example, y = ( - 2 x^3 +3 x^2 -12 ). Using the Leading Term Concept.

14:13 End Behavior of Rational Functions. Example, y = ( 3 x +2 ) / ( x^2 -1).

17:07 Example, y = [ 40 x^4 + 4 x^2 -1 ] / [ 10 x^4 + 8 x^2 +1 ].

18:36 Example, y = [ x^3 -2x +1] / [ 2 x +4]. 20:44 Summary.

22:16 Slant Asymptote [Using Long Division]. y = [ 2 x^2 +6 x - 2] / [x + 1].

25:07 End behavior of exponential functions, Logs, Sine, and Cosine.

28:40 MORE EXAMPLES. Horizontal Asymptote. Vertical Asymptote.