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How to Check Continuity of a Function Step-by-Step | Solved Example

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Apr 23, 2026
7:32

Title: How to Check Continuity of a Function Step-by-Step | Solved Example You know how to find a limit, but how do you prove a function is actually continuous? Today on The Open Equation, we are taking the next major step in calculus: Solving for the Continuity of a Function. To prove a function is continuous at a specific point, you have to pass three strict tests. In this video, we do a step-by-step walkthrough of exactly how to evaluate those 3 conditions so you can score full marks on your FSc board exams or the USAT. We will check if f(a) is defined, evaluate the limit, and prove if they match. If walking through these three conditions helped you understand continuity, please hit Subscribe! Drop a comment below letting me know if you want us to cover removable vs. non-removable discontinuities next! #theopenequation #continuity #limitsoffunctions #calculusbasics #fscmath #evaluatelimits #usatmath #mathpractice

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How to Check Continuity of a Function Step-by-Step | Solved Example | NatokHD