Near vs At: The Limit Concept That Breaks Math Open [Intro] скачать в хорошем качестве

Near vs At: The Limit Concept That Breaks Math Open [Intro]

Up until now, working with functions has meant plugging in an x-value and calculating a y-value. But calculus asks a deeper question: What happens near a point, not just at the point? In this video, we introduce one of the most important ideas in calculus: limits. You'll learn: Explain what a limit represents conceptually Interpret and use limit notation correctly Distinguish between left-hand, right-hand, and overall limits Understand why a limit can exist even when a function value does not Recognize when a limit does not exist (DNE) This lesson is ideal for students in Grade 10–12 math courses including Pre-Calculus, Algebra II, Functions, or Advanced Functions, as well as those studying AP Precalculus, AP Calculus, IB Mathematics (AA SL/HL), IGCSE, or A-Level Math. This can also help those enrolled in post-secondary Calculus courses. Chapters 00:00 - Introduction 00:35 - Exploring Limits Through a Rational Function 2:45 - Important Definitions of Limits 4:31 - Exploring One-Sided Limits Through a Piecewise Function 9:21 - Recap and Check Your Understanding Question Leave your answer in the comments below, and let us know what kind of math content you want to see next! Like and subscribe for more math tutorials from Your Math X-Plained.