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Introduction to limits
Drawing a function
Defining a point where the function is not defined
Exploring the function as it approaches the undefined point from the left
Exploring the function as it approaches the undefined point from the right
Introducing the concept of the limit
Transitioning to a more mathematically-rigorous definition of limits
Introduction to the concept of slope
Finding the slope of a line
Generalizing the concept of slope to a curve
Using two points to find the slope of a secant line
Taking the limit as the distance between the two points approaches zero to find the slope of the tangent line
Introducing the concept of the derivative