Limit (mathematics) facts for kids

Kids Encyclopedia Facts

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:

\lim_{x \to c}f(x)=L

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

Other pages

  • 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.
  • 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

Limit (mathematics) Facts for Kids. Kiddle Encyclopedia.