Calculus 1 – Limits and Continuity

This course is designed for high school and college students taking their first semester of calculus and who are learning limits and continuity.  Here is a list of topics covered in this video.

1.  Evaluating Limits Using a Data Table

2.  Evaluating Limits Analytically Using Direct Substitution

3.  Finding The Limit of Trigonometric Functions

4.  Properties of Limits – Multiplication and Division

5.  Evaluating Limits By Factoring – GCF, Difference of Perfect Squares & Sum of Cubes, & Factoring By Grouping

6.  Limits With Square Roots and Radicals

7.  Limits of Rational Functions and Fractions

8.  Limits of Rational Functions With Square Roots

9.  Limits of Special Trigonometric Functions – Sine, Cosine, and Tangent – Trigonometry

10.  The Squeeze Theorem

11.  Evaluating Limits Graphically 

12.  Limits and Piecewise Functions

This section covers the main topics that you will typically encounter on your first major calculus exam.  Learning limits is important because it ties in nicely with the second major topic taught in calculus which is Derivatives.  The derivative is a function that can tell you the instantaneous slope of a function at any x value.  You can also calculate the instantaneous slope of any function at any x value using limits and the average rate of change formula.  In this way, limits and derivatives are related.

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