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Limit (mathematics) Facts for Kids. *Kiddle Encyclopedia.*

This is an overview of the idea of a limit in mathematics. For specific uses of a limit, see limit of a sequence and limit of a function.

In mathematics, a **limit** is a guess of the value of a function or sequence based on the points around it. Limits are used to define many topics in calculus, like continuity, derivatives, and integrals.

Limit are written like this:

and read as "the limit of f of x, as x approaches c". Limit is shortened to *lim*.

- Limit of a sequence
- Rate of convergence: the rate at which a convergent sequence approaches its limit

- Cauchy sequence
- complete metric space

- Limit of a function
- One-sided limit: a real variable
*x*has two limits, as*x*approaches a point from above or below. This refers to one of those limits. - List of limits: list of limits for common functions
- Squeeze theorem: finds a limit of a function by comparing it with that of two other functions.

- One-sided limit: a real variable
- Banach limit defined on the Banach space that extends the usual limits.
- Limit in category theory
- Direct limit
- Inverse limit

- Asymptotic analysis: a method of describing limiting behavior
- Big O notation: used to describe the limiting behavior of a function when the argument tends towards a particular value or infinity

- Convergent matrix

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Limit (mathematics) Facts for Kids. - This page was last modified on 22 May 2020, at 08:21.