Limits at Infinity Examples | Calculus – JK Math

Example Problems For How to Evaluate Limits at Infinity (Calculus)

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In this video we look at examples of evaluating limits at infinity. We use the basic rules for evaluating limits at infinity, as well as a special limit for evaluating more complex limits at infinity. We also use the guidelines for quickly evaluating limits at infinity for rational functions based on the powers of x in the numerators and denominators, and show how to find horizontal asymptotes of functions using limits at infinity. Finally, we look at some examples of limits at infinity of rational functions containing square roots that have two horizontal asymptotes.

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 Examples 1 & 2 – Basic Limits at Infinity
1:17 Example 3 – Using the Special Limit
2:20 Example 4 – Rational Function with Higher Degree in Numerator
5:46 Example 5 – Rational Function with Equal Degrees
7:32 Example 6 – Rational Function with Higher Degree in Denominator
9:04 Example 7 – Finding a Horizontal Asymptote
10:40 Example 8 – Limit at Infinity of sin(x)
11:25 Example 9 – Rational Function with Radical at Infinity
13:36 Example 10 – Rational Function with sqrt(x^2) at Negative Infinity

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