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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[@PaulManzini-y6v]

Thank you for your service 🙏

[@georgesadler7830]

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.

[@mathwithprofessorv]

That makes me so happy to hear! I so appreciate all your comments and feedback!

[@user-hr4vi5lr1o]

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

[@mathwithprofessorv]

We teach with Stewart’s Calculus, Early Transcendentals 8th edition

[@Siso_Mnguni]

Thank you very much Prof🙏🙏🙏 May i please know what device are you using to make these video's.

[@mathwithprofessorv]

You’re so welcome! ☺️ I use an iPad Pro.

[@PaulManzini-y6v]

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 KZbin IVT appears