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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.
Indeterminate (variable), a symbol that is treated as a variable; Indeterminate system, a system of simultaneous equations that has more than one solution; Indeterminate equation, an equation that has more than one solution; Indeterminate form, an algebraic expression with certain limiting behaviour in mathematical analysis
Here is a basic example involving the exponential function, which involves the indeterminate form 0 / 0 at x = 0: + = (+) = + = This is a more elaborate example involving 0 / 0 . Applying L'Hôpital's rule a single time still results in an indeterminate form.
A formal power series in an indeterminate is an expression of the form + + + …, where no value is assigned to the symbol . [7] This is similar to the definition of a polynomial, except that an infinite number of the coefficients may be nonzero.
In the second case, indeterminate generally indicates that a value or property can have many meaningful definitions. Additionally, it seems to be generally accepted that undefined values may not be safely used within a particular formal system, whereas indeterminate values might be, depending on the relevant rules of the particular formal ...
The indefinite form of the noun is identical in the nominative and accusative cases, being the uninflected form of the noun in the singular, and the form noted above in the plural. The following are the endings for the dative and ablative cases when the noun is in indefinite form:
In mathematics, particularly in algebra, an indeterminate equation is an equation for which there is more than one solution. [1] For example, the equation a x + b y = c {\displaystyle ax+by=c} is a simple indeterminate equation, as is x 2 = 1 {\displaystyle x^{2}=1} .
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)