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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 (category theory) - Wikipedia

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

    Limits and colimits in a category are defined by means of diagrams in .Formally, a diagram of shape in is a functor from to : :. The category is thought of as an index category, and the diagram is thought of as indexing a collection of objects and morphisms in patterned on .

  6. Identity theorem - Wikipedia

    en.wikipedia.org/wiki/Identity_theorem

    Towards (2 3), fix an accumulation point . We now prove directly by induction that z 0 ∈ G n {\textstyle z_{0}\in G_{n}} for each n ∈ N 0 {\textstyle n\in \mathbb {N} _{0}} . To this end let r ∈ ( 0 , ∞ ) {\textstyle r\in (0,\infty )} be strictly smaller than the convergence radius of the power series expansion of h {\textstyle h ...

  7. Lim Tean - Wikipedia

    en.wikipedia.org/wiki/Lim_Tean

    Lim was born in 1964 as the eldest son of Lim Chin Teong, a senior civil servant who served as Chief Executive Director of the People's Association (PA) between the late 1970s and early 1980s. His mother, Aw Eng Lian, was a Chinese-language teacher at Zhonghua Girls School for over 40 years.

  8. Central limit theorem - Wikipedia

    en.wikipedia.org/wiki/Central_limit_theorem

    If in addition each X i has finite variance σ 2, then by the central limit theorem, , where ξ is distributed as N(0,σ 2). This provides values of the first two constants in the informal expansion S n ≈ μ n + ξ n . {\displaystyle S_{n}\approx \mu n+\xi {\sqrt {n}}.}

  9. Yvonne Lim - Wikipedia

    en.wikipedia.org/wiki/Yvonne_Lim

    Lim was born to Hokkien-speaking family. She studied at CHIJ St Theresa's Convent and graduated with a Diploma in Electronic, Computer, & Communication Engineering (DECC) at Singapore Polytechnic in 1996. [2] In an interview with SP's alumni magazine, she stated that she was a "shy girl" who rarely took part in extracurricular activities.