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Khan Academy
Introduction to Limits, Limits, Differential Calculus
Sal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...
Khan Academy
Newton, Leibniz, and Usain Bolt, Derivatives Introduction, AP Calculus AB
What do Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a specific time. He...
Khan Academy
Introduction to Limits 2, Limits, Precalculus
Sal explains limits by looking at a basic example of a discontinuous function and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits...
Khan Academy
Introduction to Limits, Limits, Differential Calculus
Sal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...
Khan Academy
Khan Academy: Pre Calculus: Sequences and Series (Part 2)
This video follows from Khan Academy: Sequences and Series (Part 1) and furthers the idea of the basic geometric series. Explains how to find the sum of both a finite and an infinite geometric series. Uses limits to find the sum of an...
Khan Academy
Khan Academy: Pre Calculus: Limit Examples (Part 3)
Video addresses limits of rational functions that can be simplified by factoring. Also provides examples of how to find the limit of a function as x approaches infinity. Includes link to practice problems. This video is also found in the...
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #6A
Video shows how to use limits to determine if a function is continuous at a given point. [4:23]
Khan Academy
Khan Academy: Pre Calculus: Introduction to Limits (Hd)
Instructional video explaining the concept of a limit. Does not provide a formal definition of limit. Includes graphical and numerical examples using both a virtual chalkboard and virtual graphing calculator. Includes link to practice...
Khan Academy
Khan Academy: Pre Calculus: Proof: Lim (Sin X)/x
Video utilizing the Squeeze Theorem to prove that the limit as x approaches 0 of (sin x)/x is equal to 1. Incorporates trigonometry and the unit circle. Illustrates the result graphically on a virtual graphing calculator. This video is...
Dartmouth College
Dartmouth College: Mqed: That's Calculus!: Episode 1: To the Limit
The limit is explored in this video lesson. In the video Josh explores the intuitive notion of limit from playground slides to food processors.
Dartmouth College
Dartmouth College: Mqed: That's Calculus!: Episode 2 and 3: The Formal Limit
Students learn about the epsilon-delta definition of limit. Josh plays the epsilon-delta game and visits the For All There Exists Cafe as he explains the formal definition of limit in these video lessons.
Sophia Learning
Sophia: Finding a Limit Through Substitution: Lesson 6
This lesson shows how a limit may be found for an element of the domain of a function by substituting that value into the function. It is 6 of 7 in the series titled "Finding a Limit Through Substitution."
Sophia Learning
Sophia: Using a Function to Find a Limit: Lesson 1
Given a sequence, this lesson demonstrates how to relate it to a function to find the limit. It is 1 of 7 in the series titled "Using a Function to Find a Limit."
Sophia Learning
Sophia: Convergence at a Limit
This lesson explains how the left and right limits for a value of the domain of a function relate to the concept of convergence.
Sophia Learning
Sophia: Secant Lines: Lesson 3
This lesson introduces the concept of secant lines. It is 3 of 5 in the series titled "Secant Lines."
Khan Academy
Khan Academy: Limit Examples (Part 3)
Video addresses limits of rational functions that can be simplified by factoring. Also provides examples of how to find the limit of a function as x approaches infinity.
Khan Academy
Khan Academy: Pre Calculus: Squeeze Theorem
Instructional video explaining the Squeeze Theorem. The theorem is first described using a real-life situation, then the theorem is illustrated graphically using three arbitrary functions. Does not include a proof of the theorem. This...
Khan Academy
Khan Academy: Squeeze Theorem: Squeeze Theorem
This video is an intuition (but not a proof) of the Squeeze Theorem.
Khan Academy
Khan Academy: Squeeze Theorem: Proof: Lim (Sin X)/x
Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1
Khan Academy
Khan Academy: Introduction to Derivatives: Calculus: Derivatives 2
In this lesson students gain more intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2.
Khan Academy
Khan Academy: Introduction to Differential Calculus: Newton and Usain Bolt
In this video, students learn why we study differential calculus.
Khan Academy
Khan Academy: Epsilon Delta Limit Definition 2
Video lesson using the epsilon delta definition to prove a limit.
Khan Academy
Khan Academy: Introduction to Derivatives: The Derivative of F(x)=x^2 for Any X
In this video students find the derivative of y=x^2.
Khan Academy
Khan Academy: Epsilon Delta Definition of Limits: Limit Intuition Review
Review on how to find the limit of a function.