Limit (noun) Definition, Meaning & Examples

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noun
  1. the final, utmost, or furthest boundary or point as to extent, amount, continuance, procedure, etc.: the limit of his experience;the limit of vision.
  2. a boundary or bound, as of a country, area, or district.
  3. Mathematics.
    • a number such that the value of a given function remains arbitrarily close to this number when the independent variable is sufficiently close to a specified point or is sufficiently large. The limit of 1/x is zero as x approaches infinity; the limit of (x − 1)2 is zero as x approaches 1.
    • a number such that the absolute value of the difference between terms of a given sequence and the number approaches zero as the index of the terms increases to infinity.
    • one of two numbers affixed to the integration symbol for a definite integral, indicating the interval or region over which the integration is taking place and substituted in a primitive, if one exists, to evaluate the integral.
  4. the premises or region enclosed within boundaries: We found them on school limits after hours.
  5. the maximum sum by which a bet may be raised at any one time.
  6. something or someone that exasperates, delights, etc., to an extreme degree: You have made errors before, but this is the limit.
verb (used with object)
  1. to restrict by or as if by establishing limits (usually followed by to): Please limit answers to 25 words.
  2. to confine or keep within limits: to limit expenditures.
  3. to fix or assign definitely or specifically.
noun
  1. the ultimate extent, degree, or amount of something
  2. the boundary or edge of a specific area
  3. the area of premises within specific boundaries
  4. the largest quantity or amount allowed
  5. maths
    • a value to which a function f(x) approaches as closely as desired as the independent variable approaches a specified value (x = a) or approaches infinity
    • a value to which a sequence a n approaches arbitrarily close as n approaches infinity
    • the limit of a sequence of partial sums of a convergent infinite series
  6. one of the two specified values between which a definite integral is evaluated
  7. a person or thing that is intolerably exasperating
  8. off limits
    • out of bounds
    • forbidden to do or use
  9. to a certain or limited extent
verb -its, -iting or -ited (tr)
  1. to restrict or confine, as to area, extent, time, etc
  2. to agree, fix, or assign specifically
    Limit (noun) Definition, Meaning & Examples

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