Intro to Limits 1

Intro to Limits

• 2.1

Up to now you have used algebra and geometry to solve problems where things are basically staying the same or changing at the same rate.

• Up to now you have used algebra and geometry to solve problems where things are basically staying the same or changing at the same rate.

• Calculus is a branch of mathematics that deals with things that are changing.

One of the most basic and fundamental ideas of calculus is limits.

• One of the most basic and fundamental ideas of calculus is limits.

• Limits allow us to look at what happens in a very, very small region around a point.

• Two of the major formal definitions of calculus depend on limits

Definition of Limit of a Function

Left & Right Hand Limits

Theorem