Table of Contents
23 relations: Accumulation point, Analytic function, Augustin-Louis Cauchy, Calculus, Continuous function, Derivative, Division by zero, Extended real number line, François-Napoléon-Marie Moigno, Function (mathematics), Indeterminate (variable), Indeterminate equation, Indeterminate system, Infinitesimal, L'Hôpital's rule, Limit (mathematics), Limit of a function, Natural logarithm, Point at infinity, Prentice Hall, Projectively extended real line, Undefined (mathematics), Zero to the power of zero.
- Limits (mathematics)
Accumulation point
In mathematics, a limit point, accumulation point, or cluster point of a set S in a topological space X is a point x that can be "approximated" by points of S in the sense that every neighbourhood of x contains a point of S other than x itself.
See Indeterminate form and Accumulation point
Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series.
See Indeterminate form and Analytic function
Augustin-Louis Cauchy
Baron Augustin-Louis Cauchy (France:, ; 21 August 1789 – 23 May 1857) was a French mathematician, engineer, and physicist.
See Indeterminate form and Augustin-Louis Cauchy
Calculus
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.
See Indeterminate form and Calculus
Continuous function
In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function.
See Indeterminate form and Continuous function
Derivative
The derivative is a fundamental tool of calculus that quantifies the sensitivity of change of a function's output with respect to its input.
See Indeterminate form and Derivative
Division by zero
In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case.
See Indeterminate form and Division by zero
Extended real number line
In mathematics, the extended real number system is obtained from the real number system \R by adding two infinity elements: +\infty and -\infty, where the infinities are treated as actual numbers.
See Indeterminate form and Extended real number line
François-Napoléon-Marie Moigno
Abbé François-Napoléon-Marie Moigno (15 April 1804 – 14 July 1884) was a French Catholic priest and one time Jesuit, as well as a physicist and author.
See Indeterminate form and François-Napoléon-Marie Moigno
Function (mathematics)
In mathematics, a function from a set to a set assigns to each element of exactly one element of.
See Indeterminate form and Function (mathematics)
Indeterminate (variable)
In mathematics, particularly in formal algebra, an indeterminate is a symbol that is treated as a variable, but does not stand for anything else except itself.
See Indeterminate form and Indeterminate (variable)
Indeterminate equation
In mathematics, particularly in algebra, an indeterminate equation is an equation for which there is more than one solution.
See Indeterminate form and Indeterminate equation
Indeterminate system
In mathematics, particularly in algebra, an indeterminate system is a system of simultaneous equations (e.g., linear equations) which has more than one solution (sometimes infinitely many solutions).
See Indeterminate form and Indeterminate system
Infinitesimal
In mathematics, an infinitesimal number is a non-zero quantity that is closer to 0 than any non-zero real number is.
See Indeterminate form and Infinitesimal
L'Hôpital's rule
L'Hôpital's rule or L'Hospital's rule, also known as Bernoulli's rule, is a mathematical theorem that allows evaluating limits of indeterminate forms using derivatives. Indeterminate form and L'Hôpital's rule are limits (mathematics).
See Indeterminate form and L'Hôpital's rule
Limit (mathematics)
In mathematics, a limit is the value that a function (or sequence) approaches as the input (or index) approaches some value. Indeterminate form and limit (mathematics) are limits (mathematics).
See Indeterminate form and Limit (mathematics)
Limit of a function
Although the function is not defined at zero, as becomes closer and closer to zero, becomes arbitrarily close to 1. Indeterminate form and Limit of a function are limits (mathematics).
See Indeterminate form and Limit of a function
Natural logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to.
See Indeterminate form and Natural logarithm
Point at infinity
In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.
See Indeterminate form and Point at infinity
Prentice Hall
Prentice Hall was a major American educational publisher.
See Indeterminate form and Prentice Hall
Projectively extended real line
In real analysis, the projectively extended real line (also called the one-point compactification of the real line), is the extension of the set of the real numbers, \mathbb, by a point denoted.
See Indeterminate form and Projectively extended real line
Undefined (mathematics)
In mathematics, the term undefined is often used to refer to an expression which is not assigned an interpretation or a value (such as an indeterminate form, which has the possibility of assuming different values).
See Indeterminate form and Undefined (mathematics)
Zero to the power of zero
Zero to the power of zero, denoted by, is a mathematical expression that is either defined as 1 or left undefined, depending on context.
See Indeterminate form and Zero to the power of zero
See also
Limits (mathematics)
- Approximate limit
- Convergent matrix
- Indeterminate form
- Interchange of limiting operations
- Iterated limit
- L'Hôpital's rule
- Limit (mathematics)
- Limit inferior and limit superior
- Limit of a function
- Limit of a sequence
- List of limits
- One-sided limit
- Oscillation (mathematics)
- Squeeze theorem
- Staircase paradox
- Subsequential limit
- Tannery's theorem
References
Also known as 0 divided by 0, 0 × ∞, 0/0, 0×∞, 0÷0, 1^∞, Equivalent infinitesimal, Equivalent infinitesimals, Indeterminate expression, Indeterminate expressions, Indeterminate forms, Indeterminate number, List of indeterminate forms, Zero divided by zero, .