chapter two limits and their properties. copyright © houghton mifflin company. all rights reserved....

Chapter Two

Limits and Their Properties

Copyright © Houghton Mifflin Company. All rights reserved. 2 | 2

The Tangent Line Problem


The Area Problem


A Strategy for Finding Limits (simplified)

• Use direct substitution (easiest method).

• If direct substitution does not work try finding an equal function that can be evaluated by direct substitution. This is usually accomplished by some algebraic technique such as factoring.

• Use a graph or table to reinforce your conclusion.


Definition of Limit


The Squeeze Theorem


Continuity at a Point and on an Open Interval


Continuity at a Point and on an Open Interval (cont’d)


Discontinuities


Definition of Continuity on a Closed Interval


The Intermediate Value Theorem


Definition of Infinite Limits


Properties of Infinite Limits

chapter two limits and their properties. copyright © houghton mifflin company. all rights reserved....

Documents

definition of continuity

chapter twolimits

equal function

algebraic technique