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Interactive video lesson plan for: One Sided Limits, Graphs, Continuity, Infinity, Absolute Value, Squeeze Thereom - Calculus Review

Activity overview:

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

Tagged under: sided limits calculus, sided limits absolute , sided limits,limits,limits infinity,limits continuity,limits calculus,trigonometric functions,horizontal asymptotes,graph,limits infinity radicals,square roots,trig functions,continuity limits,continuity,absolute ,calculus,squeeze theorem,exponential functions,discontinuity,logarithmic functions,piecewise functions,greatest integer function,factoring,3 step continuity test

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