A function is continuous if you can draw it without lifting the pencil? Good start. In this video you will learn the currently most commonly used definition of continuity, the epsilon-delta definition, as well as a cool trick to mathematically check the continuity at a point in seconds. ✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄ If you need to prepare for a math exam, then take a look at my own online platform: https://champcademy.com. There you will find courses, individual support and everything you need to pass your exam. -------------------------------------------------------------------------------------------------------------------------- ONLINE COURSES ???? Statistics and probability calculations https://champcademy.teachable.com/p/s... Complex numbers https://champcademy.teachable.com/p/k... Sequences, series and difference equations https://champcademy.teachable.com/p/f... Differential calculus https://champcademy.teachable.com/p/d... Limits of functions https://champcademy.teachable.com/p/g... Integral calculus https://champcademy.teachable.com/p/i... Multidimensional integral calculus https://champcademy.teachable.com/p/m... Functions with several variables https://champcademy.teachable.com/p/f... Extremum calculation https://champcademy.teachable.com/p/e... INDIVIDUAL COURSES Math 1 crash course (adapted to HU Berlin) https://champcademy.teachable.com/p/m... Math 2 LIVE Crash Course (for HU Berlin) https://champcademy.teachable.com/p/m... Statistics 1 LIVE Crash Course (for HU Berlin) https://champcademy.teachable.com/p/s... Analysis 2 LIVE Crash Course (for TU Berlin) https://champcademy.teachable.com/p/a... -------------------------------------------------------------------------------------------------------------------------- SOCIAL MEDIA https://linktr.ee/mathepeter / mathepeter.tv / discord LIVESTREAM CALENDAR https://kalender.digital/831bcc564b24... -------------------------------------------------------------------------------------------------------------------------- AFFILIATE LINKS For every purchase I get a small commission. The price remains the same for you: My calculator https://amzn.to/2RbhKKj My blackboard https://amzn.to/2WdVUtd ♥♥♥ ♜♞♝♛♚♝♞♜ ♥♥♥ ♟♟♟♟♟♟♟♟♟ --------------------------------------------------------------------- Would you like to support me? Patreon: / mathepeter PayPal: https://paypal.me/peterlehe1?locale.x... --------------------------------------------------------------------- ♙♙♙♙♙♙♙♙ ♥♥♥ ♖♘♗♕♔♗♘♖ ♥♥♥ ✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄✄ Content: 0:00 How can you imagine continuity? 0:41 Epsilon-Delta definition of continuity 1:11 Example: continuous/discontinuous function 2:23 Simple trick for continuity (derivation) 3:57 Checking the examples 4:37 Summary Related videos: Differentiability ==► Continuity (proof) - • Differentiability ==► Continuity (B... Limits of functions: What is that?+Important limits - • Limits of functions: What is there... Limits of functions: L'Hospital's rule - • Limits of functions: L'Hospital's rule... Why #MathePeter: Many of you find math difficult during your studies or training. You even have to take a math exam. To be honest, there are better things in life than preparing for a math exam. During my time as a tutor at university, I noticed that learning math is also easier. On this channel, we work out the basics for your exam together. This channel also serves as a supplement to online and offline tutoring. The goal is to make learning math as easy as possible. Crash courses, videos and video courses are coming in the future. I look forward to seeing you! Just send me a message.