1.02 Introduction to limits

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# 1.02 Introduction to limits - PowerPoint PPT Presentation

1.02 Introduction to limits. Speed limit  the speed which you can reach but not go over “I’ve hit my limit”  I’ve had enough, I can’t take any more In calculus, a limit is the intended value of a function. Definition of a limit. Example 1. Example 1. Example 1. Example 2.

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### 1.02 Introduction to limits

“I’ve hit my limit”  I’ve had enough, I can’t take any more

In calculus, a limit is the intended value of a function

Definition of a limit

For a limit to exist, the right-hand limit (RHL) and the left-hand limit (LHL) must both exist and must be equal

Right and left hand limits

Therefore, the limit does not exist

Limits can be evaluated 3 ways:

• Graphically
• Algebraically (several different method)
• Using the Sandwich Theorem (only some limits) also known as the squeeze theorem
Evaluating limits

From the Finney textbook

• P. 62 # 1 – 6
• P. 64 # 45 – 47 (instructions are on p. 63)
homework