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
Don't forget to LIKE, Comment, & Subscribe!
xoxo,
Professor V
https://linktr.ee/mathwithprofessorv
Calculus 2 Lecture Videos on Integration:
Integration by parts: https://youtu.be/0klrkpMUsXA
Tabular Integration: https://youtu.be/pzhJciqIrzw
Trigonometric integrals: https://youtu.be/0MqaL3fwPu4
Trigonometric Substitution: https://youtu.be/rAH-dRxQ4o0
Partial Fraction Decomposition: https://youtu.be/mT25uSspHIU
Strategy for Integration: https://youtu.be/P_smvpnX3_g
Improper Integrals: https://youtu.be/Q0zD3GjXJ1s
Trig Review:
Unit Circle: https://youtu.be/nl84YXi1_3A
Trig Identities: https://youtu.be/SLVrNGi1Br0
Sum and Difference Formulas: https://youtu.be/9kC8gwkxf6A
Double Angle & Half-Angle Formulas: https://youtu.be/EaF57Y4B2uY
Calculus 3 Video Lectures:
https://youtube.com/playlist?list=PLl-Np5U6u5E65pRRuD0mBXM4w4fenJ5gD
#mathwithprofessorv #integration #partialfractions #partialfractionmethod #partialfractiondecomposition #trigonometricsubstitution #trigintegrals #trigsubstitution #integrals #integralcalculus #calculus2 #calculusvideos #calculus2videos #integralvideos #trigonometricintegrals #math #youtubemath #mathvideos #mathtutor #mathprofessor #calculusvideos #integrationbyparts #integralcalculus
Join this channel to get access to perks:
https://www.youtube.com/channel/UCokuhoh5N_B0ZxHcEU_EWbQ/join
Socials:
IG: @mathwithprofessorv
TikTok: @mathwithprofessorv
I'm also an Amazon influencer, so feel free to support and shop:
https://amazon.com/shop/mathwithprofessorv
EXCITING NEWS: You can now sign up for my Patreon at the link below!
https://www.patreon.com/mathwithprofessorv
My Patreon is a place for students to have access to exclusive ad-free content not available on my YouTube channel! Access to the library of additional videos, worksheets, and more is available with the "Star Pupil Package" tier for just $9.99/month (USD).
https://www.patreon.com/mathwithprofessorv
*This video is copy protected and cannot be downloaded or used in any capacity without my permission.*