Engineering Handbook/Calculus/Limit

Definitions

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To say that

 

means that ƒ(x) can be made as close as desired to L by making x close enough, but not equal, to p.

The following definitions (known as (ε, δ)-definitions) are the generally accepted ones for the limit of a function in various contexts.

List of Limit

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Limits for general functions

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  (L'Hôpital's rule)

Limits of general functions

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Notable special limits

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Simple functions

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Logarithmic and exponential functions

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Trigonometric functions

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Near infinities

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