LÍMITES - Clase Completa desde Cero

Dedicated to those who truly want to learn. In this lesson, we'll cover the most important fundamentals to begin understanding the world of calculus. We're going to learn about LIMITS. This topic is generally taught in the first two years of science and engineering degrees. In some countries, it's taught at the secondary level. For Argentina only: If you'd like to make a donation to help me continue making videos, you can do so through this link: https://mpago.la/2VLsW1T Thank you so much! 😀 00:00 Motivational Intro 01:04 Introduction 09:29 Intuitive Concept 16:45 Existence of a Limit 20:48 Cases of Vertical Asymptotes 28:20 Cases of Horizontal Asymptotes 29:08 Laws of Limits 40:24 Example 46:07 Compression Theorem 48:54 Example 1:00:42 Definition of a Limit Video about numerical functions of a real variable at real values:    • FUNCIONES - Clase Completa desde cero   You can support this work for free by: Subscribing to the channel. Sharing the video on social media. Liking or disliking it and commenting. You can support the development of more material like this by donating through Patreon:   / eltraductordeingenieria   To understand this video, it is essential that you have understood and reasoned through the following concepts: Functions of a real variable. Elementary algebra. Concepts explained in this video: Intuitive idea of ​​approximation. Intuitive idea of ​​the concept of a limit. One-sided limits. Existence of a limit. Asymptotes of a function. Example: f(x)=-1/(x-2) Limits by direct evaluation. Laws of limits. Example: f(x)=(x-1)/(x-3) Example: f(x)=(x^2-1)/(x-1) Squeeze theorem (or "sandwich" theorem). Example: f(x) = sin(x)/x Formal definition of a limit (epsilon-delta definition). Some channels for practicing these topics:    / juanmemol   (recommended)    / blackpenredpen   (recommended)    / cristigo92   Some recommended books: To begin understanding calculus topics like those in the video, the following may be helpful: James Stewart, Calculus: Early Transcendentals, 6th edition, Cengage Learning. George Thomas, Calculus: One Variable, 12th edition, Pearson. Claudio Pita Ruiz, Calculus of One Variable, 1st edition, Prentice Hall. Ron Larson, Bruce H. Edwards, Calculus 1 of One Variable, 9th edition, McGraw-Hill. Observations or errors in this video: When presenting the formal definition of a limit, it appears as |f(x)-L| greater than zero. It should actually be greater than or equal to zero, since if f(x) is constant and equal to L in the reduced neighborhood of x=a, then f(x)=L, so |f(x)-L|=0. At minute 57, second 05, when dividing by x, the possible negative sign of x should have been taken into account; this changes the inequality. At hour 1, minute 13, second 39, in the background, it says: for all delta greater than zero. Ignore that. That's it! Now it's up to you! (or you ;) ) We're changing the classroom. We're showing that it's possible to teach differently. #Limits #TheTranslator