Calculus 1: Continuity and the Intermediate Value Theorem (Video #5) | Math with Professor V

Three-part definition for continuity of a function at a given point. Examples applying the definition in order to determine if a function is continuous at a given value. Discussion of removable discontinuities, infinite discontinuities, and jump discontinuities. Continuity from the left and right side; continuity of piece-wise functions. Theorems involving continuity of polynomial, rational, trigonometric, logarithmic, and exponential functions. Continuity of a composition of functions; how to take limits of a composition of functions. The Intermediate Value Theorem. How to show that there is a root of a function on an interval. #continuity #intermediatevaluetheorem #calculus #mathtvwithprofessorv #continuous #continuousfunctions #IVT #calculusvideos #math #youtubemath #mathvideos #youtuber #mathprofessor #mathtutor #calculushelp #calculustutor #limits #continuity
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