Summary: Limits and Continuity
In this video, I will summarize everything about limits and continuity. I will also show some examples. This video is meant to help you tie all the content with limits together. If you would like more problems to study or more in-depth explanation, look below.
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Get the guided notes here: https://drive.google.com/file/d/1ZW-a...
Advice on how to study: • see new link
Check out my 4 videos to help you prepare for a limits test, complete with free problems and solutions
1 Basic Limit Problems - • Study: 20+ Basic Limit Problems to He...
2 Medium Difficulty Limits - • Study: 20 "Medium Difficulty" Problem...
3 Difficult Limits - • Study: 20+ Difficult Limit Problems t...
4 Mixed Levels of Difficult - • Study: 20+ Mixed Levels of Difficulty...
Also check out this summary of limits (you are here) - • Summary: Limits and Continuity
Quick references for this video
00:00 Intro
2:09 limit notation
4:11 limit laws
6:09 limits and continuity
9:11 basic examples
12:50 other tricks for limits
15:53 examples using tricks for limits
19:33 limits as x goes to infinity (mostly examples)
32:14 infinite limits (limits that equal infinity)
42:57 continuous extensions and asymptotes
Other topics
Intro to limits: • Lesson: An Intro to Limits and Evalua...
Algebraic tricks for limits: • Lesson: Algebraic Tricks for Limits
The sandwich theorem: • Lesson: The Sandwich (Squeeze) Theore...
One-sided limits: • Video
Limits using sin x/x as x goes to 0: • Examples: Limits using sin x / x = 1
Limits as x goes to infinity: • Lesson: Limits as x goes to Infinity ...
Examples of finding asymptotes (horizontal/vertical): • Examples: Finding Asymptotes Using Li...
Intro to continuity: • Lesson: An Intro to Continuity for Ca...
Compositions of continuous functions and limits: • Examples: Limits of Compositions of C...
Continuous extensions: • Examples: Making Piecewise Functions ...
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