Section 3
Limits
By Boundless
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Iinstantaneous velocity can be obtained from a position-time curve of a moving object.
![Thumbnail](../../../../../../figures.boundless-cdn.com/31927/square/3e9kfu0ls7ocw07fybvb.jpg)
The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of a function near a particular input.
![Thumbnail](../../../../../../figures.boundless-cdn.com/18033/raw/squeeze-theorem-example.jpg)
Limits of functions can often be determined using simple laws, such as L'Hôpital's rule and squeeze theorem.
![Thumbnail](../../../../../../figures.boundless-cdn.com/18017/square/limit-at-infinity-graph.jpg)
The
A continuous function is a function for which, intuitively, "small" changes in the input result in "small" changes in the output.
![Thumbnail](../../../../../../figures.boundless-cdn.com/18034/square/tamasol.jpg)
For a real-valued function expressed in terms of other functions, limit values may be computed via algebraic operations.
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There are several limits of special interest involving trigonometric functions.
For a real-valued continuous function
![Thumbnail](../../../../../../figures.boundless-cdn.com/18036/square/limit-at-infinity-graph.jpg)
Limits involving infinity can be formally defined using a slight variation of the