Continuity of a Function, Differentiability, Piecewise, Practice Examples - Calculus

This video explains how to tell if a function is continuous or discontinuous using limits (one sided or both) in the 3 conditions (definition and meaning) of the continuity test (using the graph or piecewise expression). The topic is covered in Calculus 1 and 2 (AB, BC or Grade 12 maths). A practice problem worksheet (PDF) with solutions or answers is provided to test yourself without a calculator to supplement what you learned from Khan Academy.

📌 Worksheets are provided in PDF format to further improve your understanding:

- Questions Worksheet: https://drive.google.com/file/d/1IfdCaeJTszq4Is48tDhUUxlMd-w9Eltx/view?usp=drive_link
- Answers: https://drive.google.com/file/d/11PKq7Z-aEJQOqR_xbqFdAEQdQH4JjKnu/view?usp=drive_link

📌 Chapters on What You’ll Learn:

00:00 Types of discontinuities
01:58 Discontinuities, examples
04:26 Continuity at a point, with examples
08:16 Continuity over an interval, with example
10:55 Removing discontinuities, with example
13:42 Infinite limits and vertical asymptotes
14:41 Infinite limits and horizontal asymptotes
15:34 Relative magnitudes of functions

📌 Perfect for calculus students and exam preparation, this tutorial uses plenty of examples and easy-to-follow explanations.

👉 Make sure to check out our full Calculus 1 and 2 course playlist, which covers differentiation, integration, sequences and series and their applications!

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What part of Limits and Continuity gave you the most difficulty? Comment below!👇
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