Introduction to the Concept of a Limit

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Presentation transcript:

Introduction to the Concept of a Limit Section 2.1

Determine the Behavior What happens to the values of the function as the x values get very close to 9?

Determine the Behavior (2) What happens to the values of the function as the x values get very close to 5?

Determine the Behavior (3) What happens to the values of the function as the x values get very close to 2?

Definition of Limit

Properties of Limits

Properties of Limits (continued)

Properties of Limits (continued)

Sandwich Theorem

“Famous Limits”

Terms and Concepts Be able to… Calculate one-sided limits Evaluate limits involving infinity Find limits numerically, algebraically, and graphically. Note that… If the two one-sided limits do not agree, the overall limit does not exist. If a limit does not exist, you should try to describe the behavior.