Скачать или смотреть 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

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