Evaluating Limits | Calculus Lesson 2 – JK Math

How To Evaluate Limits (Calculus Lesson 2)

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In this lesson we learn how to evaluate limits of functions analytically, meaning without the help of a graph of the function. We cover the basic rules including limits of constant functions, limits of polynomials, and limits of various other basic functions. We also go over the properties that limits have, including the scalar multiple property, sum and difference properties, the product and quotient properties, and the power property.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 Basic Limit Rules
2:58 Properties of Limits – Scalar Property
4:40 Properties of Limits – Sum & Difference Properties
5:28 Properties of Limits – Product Property
6:00 Properties of Limits – Quotient Property
6:45 Properties of Limits – Power Property
7:30 Example 1 – How to “Plug-in” And Why
9:40 Example 2 – Plugging Into a Square Root Function
10:08 Example 3 – Plugging Into a Rational Function
11:11 Example 4 Part 1 – Using the Scalar Property
12:14 Example 4 Part 2 – Using the Sum Property
12:44 Example 4 Part 3 – Using the Product Property
13:10 Example 4 Part 4 – Using the Quotient Property

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#calculus #limits

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