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  2. 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 ...

  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. Limit of a function - Wikipedia

    en.wikipedia.org/wiki/Limit_of_a_function

    Although implicit in the development of calculus of the 17th and 18th centuries, the modern idea of the limit of a function goes back to Bolzano who, in 1817, introduced the basics of the epsilon-delta technique (see (ε, δ)-definition of limit below) to define continuous functions.

  5. Limit - Wikipedia

    en.wikipedia.org/wiki/Limit

    Limit (mathematics), the value that a function or sequence "approaches" as the input or index approaches some value Limit of a function (ε,_δ)-definition of limit, formal definition of the mathematical notion of limit

  6. L'Hôpital's rule - Wikipedia

    en.wikipedia.org/wiki/L'Hôpital's_rule

    L'Hôpital's rule (/ ˌ l oʊ p iː ˈ t ɑː l /, loh-pee-TAHL) or L'Hospital's rule, also known as Bernoulli's rule, is a mathematical theorem that allows evaluating limits of indeterminate forms using derivatives.

  7. Profinite group - Wikipedia

    en.wikipedia.org/wiki/Profinite_group

    A profinite group is a topological group that is isomorphic to the inverse limit of an inverse system of discrete finite groups. [3] In this context, an inverse system consists of a directed set (,), an indexed family of finite groups {:}, each having the discrete topology, and a family of homomorphisms {:,,} such that is the identity map on and the collection satisfies the composition ...

  8. Lim Gi-han - Wikipedia

    en.wikipedia.org/wiki/Lim_Gi-Han

    Lim Gi-Han (Korean: 임기한; born 20 October 1973) is a former South Korean footballer. He is currently head coach of Daejeon Citizen U-18 team. Lim graduated from Daegu University. [1] He was selected for the South Korean olympic team (U-23), [1] but didn't participate in the olympic.

  9. Help:Template limits - Wikipedia

    en.wikipedia.org/wiki/Help:Template_limits

    When a page reaches the template limits, the most common solution is to make the templates shorter, using methods described below. If this isn't possible, it may be necessary to include more data directly in the page source, rather than transcluding it from templates (e.g., formatting references by hand or using <references /> instead of {{}}).