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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[georgesadler]

Professor V, thank for another excellent lecture on Continuity and the Intermediate Value Theorem from Calculus One. The examples and illustrations are amazing. I am really learning from these lectures.

[hrvilro]

Thank you so much professor those videos help a lot, what is the name of the calculus book so I can practice more

[sqmukmz]

Prof I wanted to ask a question.
Is Intermediate value property same as Intermediate value theorem
Coz theres a Q that wants the Intermediate value property and when I try looking it up on YouTube IVT appears

[Siso_Mnguni]

Thank you very much Prof🙏🙏🙏

May i please know what device are you using to make these video's.