one-sided-limits-graphs-continuity-infinity-absolute-value-squeeze-thereom-calculus-review

This calculus review tutorial focuses on evaluating one sided limits from graphs and functions including absolute value functions, trigonometric, exponential and logarithmic functions. It also goes into the squeeze theorem and the greatest integer function. This video contains plenty of examples and practice problems for you to work on.

Here is a list of topics:

1. Evaluating the limit of a function graphically

2. Discontinuity - Jump, Infinite, Point, Removable and Nonremovable

3. How to determine if the limit does not exist using the left hand limit and the right hand limit

4. Infinite Limits at Vertical Asymptotes

5. Right Sided Limit of Natural Log Function

6. Using a table of values to estimate the limit

7. Piecewise Functions and the 3 step continuity test

8. Properties of Limit Laws - Addition, Subtraction, Multiplication, Division, Sum, Product, Difference, and Quotient of Limits

9. Direct Substitution Property of Limits

10. The Squeeze Theorem of Limits

11. Limits and the Greatest Integer Function - Step Function / Sandwich Theorem

12. Evaluating Limits By Factoring Using Difference of Squares Method, Sum and Difference of Cubes Formula, Trinomials with Leading of Coefficient of 1.

13. Evaluating Limits of Square Root / Radical Functions By Multiplying The Fraction By the Conjugate - Numerator and Denominator

14. Limits of Complex Fractions - Common Denominator

15. Evaluating Limits of Absolute Functions & Piecewise Functions

16. Finding Points of Discontinuity

17. Find the value of the constant c that makes the piecewise function continuous using systems of equations and solving by elimination

18. Limits at Infinity - Horizontal Asymptotes

19. Limits of Trigonometric Function - Sine, Cosine, Tangent, and Secant - sinx, cosx, tanx, and secx

20. Evaluating Limits of Exponential Functions at Infinity - e^x

21. Finding the Limit of Polynomial and Rational Functions with Fractions, Exponents, and Square Roots

22. Limits of Inverse Tangent / Tan Function at Infinity - Horizontal Asymptote at pi/2

23. Left and Right End Behavior of Functions Using Limits

24. Evaluating one sided limits algebraically

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