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2. List of limits - Wikipedia

   en.wikipedia.org/wiki/List_of_limits

   This is a list of limits for common functions such as elementary functions. In this article, the terms a , b and c are constants with respect to x . Limits for general functions

3. Limit (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Limit_(mathematics)

   In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. [1] Limits of functions are essential to calculus and mathematical analysis , and are used to define continuity , derivatives , and integrals .

4. List of calculus topics - Wikipedia

   en.wikipedia.org/wiki/List_of_calculus_topics

   Elementary Calculus: An Infinitesimal Approach; Nonstandard calculus; Infinitesimal; Archimedes' use of infinitesimals; For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics

5. Limit of a function - Wikipedia

   en.wikipedia.org/wiki/Limit_of_a_function

   In particular, one can no longer talk about the limit of a function at a point, but rather a limit or the set of limits at a point. A function is continuous at a limit point p of and in its domain if and only if f(p) is the (or, in the general case, a) limit of f(x) as x tends to p. There is another type of limit of a function, namely the ...

6. Limit inferior and limit superior - Wikipedia

   en.wikipedia.org/wiki/Limit_inferior_and_limit...

   In mathematical analysis, limit superior and limit inferior are important tools for studying sequences of real numbers.Since the supremum and infimum of an unbounded set of real numbers may not exist (the reals are not a complete lattice), it is convenient to consider sequences in the affinely extended real number system: we add the positive and negative infinities to the real line to give the ...

7. Limit - Wikipedia

   en.wikipedia.org/wiki/Limit

   (ε,_δ)-definition of limit, formal definition of the mathematical notion of limit; Limit of a sequence; One-sided limit, either of the two limits of a function as a specified point is approached from below or from above; Limit inferior and limit superior; Limit of a net; Limit point, in topological spaces; Limit (category theory) Direct limit ...

8. Set-theoretic limit - Wikipedia

   en.wikipedia.org/wiki/Set-theoretic_limit

   In mathematics, the limit of a sequence of sets,, … (subsets of a common set ) is a set whose elements are determined by the sequence in either of two equivalent ways: (1) by upper and lower bounds on the sequence that converge monotonically to the same set (analogous to convergence of real-valued sequences) and (2) by convergence of a sequence of indicator functions which are themselves ...

9. One-sided limit - Wikipedia

   en.wikipedia.org/wiki/One-sided_limit

   The function () = + ⁡ (), where ⁡ denotes the sign function, has a left limit of , a right limit of +, and a function value of at the point =. In calculus, a one-sided limit refers to either one of the two limits of a function of a real variable as approaches a specified point either from the left or from the right.