Definition of a Limit

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# Definition of a Limit - PowerPoint PPT Presentation

Definition of a Limit. Section 2.4. provided given any

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### Definition of a Limit

Section 2.4

provided given any

• The limit of f(x) as x approaches a is L provided given any epsilon greater than zero there exists a delta greater than zero such that the absolute value of f(x)-L is less than epsilon whenever zero is less than the absolute value of x-a which is less than delta!!!!!!!
The Formal Definition of a Limit

Given any you must be able to find a that satisfies the problem.

• measures how close to f(x) is to its limit.
• The size of depends on
This concept is not required for the AP test, but it required for the ACP curriculum.