Continuity Basic Introduction, Point, Infinite, & Jump Discontinuity, Removable & Nonremovable

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This calculus video tutorial provides a basic introduction into to continuity. It explains the difference between a continuous function and a discontinuous one. It discusses the difference between a jump discontinuity, an infinite discontinuity and a point discontinuity. A point discontinuity is a hole also known as a removable discontinuity. Infinite and jump discontinuities are nonremovable discontinuities. This video explains how to identify the points of discontinuity in a rational function and in a piecewise function. it explains how to make piecewise functions continuous by finding the value of the constant. This video has many examples and practice problems.

Limits - Free Formula Sheet:


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Introduction to Limits:


How To Evaluate Limits From a Graph:


Evaluating Limits By Factoring:


Limits of Rational Functions :


Limits of Radical Functions:


Limits of Trigonometric Functions:


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How To Find The Limit at Infinity:


Infinite Limits + Vertical Asymptotes:


Limits at Infinity With Radicals:


Limits of Absolute Value Functions:


Limits of Composite Functions:


The Squeeze Theorem:


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Limits and Logarithms:


Limits of Exponential Functions:


Piecewise Functions - Limits:


3 Step Continuity Test:


Continuity and Differentiability:


Limits - Test Review:


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Final Exams and Video Playlists:


Full-Length Videos and Worksheets: