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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. Application (or repeated application) of the rule often converts an indeterminate form to an expression that can be easily ...
Guillaume François Antoine, Marquis de l'Hôpital [1] (French: [ɡijom fʁɑ̃swa ɑ̃twan maʁki də lopital]; sometimes spelled L'Hospital; 1661 – 2 February 1704) [a] was a French mathematician. His name is firmly associated with l'Hôpital's rule for calculating limits involving indeterminate forms 0/0 and ∞/∞.
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.
L'Hôpital's rule - a method in calculus for evaluating indeterminate forms; Indeterminate - a mathematical expression for which many assignments exist; NaN - the IEEE-754 expression indicating that the result of a calculation is not a number; Primitive notion - a concept that is not defined in terms of previously-defined concepts
Indeterminate form; Interchange of limiting operations; Iterated limit; L. L'Hôpital's rule; Limit inferior and limit superior; Limit of a function; Limit of a sequence;
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The indeterminate form is because the division function is discontinuous at (0,0). Note that the indeterminate form is "0/0", not 'f(0)', which is not an indeterminate form. Also, the sentence you are editing is describing a binary operation, not a unary function as your example above provides. — Carl (CBM · talk) 20:49, 11 June 2007 (UTC)
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