Definition:Limit

Disambiguation

This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

Limit may refer to:

• Analysis:
  • Limit of Sequence
  • Limit of Mapping:
    • Limit of Mapping between Metric Spaces
    • Limit of Real Function
    • Limit of Complex Function
  • Limit Superior
  • Limit Inferior

• Measure Theory
  • Limit of Sets

• Category Theory:
  • Limit of Diagram

• Continued Fractions:
  • Limit of Continued Fraction

• Set Theory and Class Theory
  • Limit Ordinal
  • Limit Element under Well-Ordering

Historical Note

It should be noted that neither Newton nor Leibniz had a clear understanding of the concept of a limit, despite their work on inventing the Calculus.

That understanding came later; the modern concept of a limit was pioneered by the work of Carl Friedrich Gauss and Niels Henrik Abel‎.

However, it was not until Augustin Louis Cauchy, in $1821$, that the limit was given a rigorous definition.

Sources

• 1937: Richard Courant: Differential and Integral Calculus: Volume $\text { I }$ (2nd ed.) ... (previous) ... (next): Chapter $\text I$: Introduction