3 Step Continuity Test, Discontinuity, Piecewise Functions & Limits | Calculus

This calculus video tutorial explains how to identify points of discontinuity or to prove a function is continuous / discontinuous at a point by using the 3 step continuity test. This involves evaluating piecewise functions using one sided limits. The first step is to determine if the function is defined at the given point. The second step is to prove that the limit exists by showing that the right side equals the left side. If the limit does not exist, it could be a jump discontinuity or an infinite discontinuity which are nonremovable. The 3rd step is to show that the limit equals the function at the given point. If the limit exists but does not equal the function, then it's a point discontinuity also known as a hole which is removable.

Introduction to Limits:
https://www.youtube.com/watch?v=YNstP0ESndU

How To Evaluate Limits From a Graph:
https://www.youtube.com/watch?v=7Q2HwTHcxA0

Evaluating Limits By Factoring:
https://www.youtube.com/watch?v=fOrOeZA-vdY

Limits of Rational Functions :
https://www.youtube.com/watch?v=M2BgBG2Su94

Limits of Radical Functions:
https://www.youtube.com/watch?v=qay5HvT1UK8

Limits of Trigonometric Functions:
https://www.youtube.com/watch?v=HbtuSC_WOW0

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How To Find The Limit at Infinity:
https://www.youtube.com/watch?v=NmLljBAg82o

Infinite Limits + Vertical Asymptotes:
https://www.youtube.com/watch?v=xvFqomOpLrs

Limits at Infinity With Radicals:
https://www.youtube.com/watch?v=1hyoTeWg6Bs

Limits of Absolute Value Functions:
https://www.youtube.com/watch?v=wFeh4ByT0xs

Limits of Composite Functions:
https://www.youtube.com/watch?v=KjL9cWHzeIc

The Squeeze Theorem:
https://www.youtube.com/watch?v=lVIb9iJ-rRI

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Limits and Logarithms:
https://www.youtube.com/watch?v=fHzmQmcvheI

Limits of Exponential Functions:
https://www.youtube.com/watch?v=pcUXo7XbRaM

Piecewise Functions - Limits:
https://www.youtube.com/watch?v=JrYmEo6hoiU

3 Step Continuity Test:
https://www.youtube.com/watch?v=WT7oxiiFYt8

Continuity and Differentiability:
https://www.youtube.com/watch?v=fml0-ELYLaE

Limits - Test Review:
https://www.youtube.com/watch?v=6e4Wtgc43KQ

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https://www.video-tutor.net/

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https://www.patreon.com/MathSc....ienceTutor/collectio