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2. 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.

3. 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

4. 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 ...

5. Interchange of limiting operations - Wikipedia

   en.wikipedia.org/wiki/Interchange_of_limiting...

   Examples abound, one of the simplest being that for a double sequence a m,n: it is not necessarily the case that the operations of taking the limits as m → ∞ and as n → ∞ can be freely interchanged. [4] For example take a m,n = 2 m − n. in which taking the limit first with respect to n gives 0, and with respect to m gives ∞.

6. Indeterminate form - Wikipedia

   en.wikipedia.org/wiki/Indeterminate_form

   Indeterminate form is a mathematical expression that can obtain any value depending on circumstances. In calculus, it is usually possible to compute the limit of the sum, difference, product, quotient or power of two functions by taking the corresponding combination of the separate limits of each respective function.

7. 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 ...