Limits Part I. Covering 10 examples and the Squeeze Theorem.

0:00 Calculus I Limits Part I with graphs and definitions. Watch my second and third videos about limits at: Limits Part II: https://youtu.be/75FzRUC48Ng Limits Part III: https://youtu.be/I7GO24j0W2g

1:54 Average Velocity.

 5:27 Instantaneous Velocity.

13:03 Definition of Limits.

14:10 One-sided limits: Limits from the right, Limits from the left.

16:56 Finding limits from graphs.

23:07 Finding limits Algebraically.

26:33 Finding limits by direct substitution.

 27:02 Finding limits by simplifying first when you end up dividing by zero.

29:26 Piecewise functions.

30:57 The Squeeze Theorem, known as the Sandwich Theorem.

34:52 Simplify before you plug in h=0.

Evaluate the Limit, or state that it does not exist.

Lim as h approaches 0 of [ SQR (9+h) - 3] / h.

Limit with Conjugate.

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.

Limit sin 3x over x as x approaches zero.