Definition of a Limit Section 2.4 The Formal Definition of a Limit provided given any The limit of f(x) as x approaches a is L provided given any epsilon.

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Presentation transcript:

Definition of a Limit Section 2.4

The Formal Definition of a Limit 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!!!!!!!

This concept is not required for the AP test, but it required for the ACP curriculum. 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