Comments on undefined What made you want to look up undefined? Get Word of the Day daily email! Test Your Vocabulary. Love words? Need even more definitions?
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I slipped out before the early boat left next morning, driven by undefined anxieties towards Madame Clementine's alley. As stated in the previous section, undefined values tend toward infinity. Consequently, a graphical illustration of undefined shows a vertical asymptote , on either one or both sides of which the function increases in magnitude without bound.
The function never crosses or touches the asymptote by definition and thus there is no value - not even infinite - at the asymptote. Indeterminate values are a bit different. On a graph they will not have a vertical asymptote at all as the indeterminate value. Instead, there will be a point-gap: a single point which is excluded from the domain and has no range- or output-value. The function on either side of the point-gap will approach one or two distinct finite values.
In some cases, a function may be asymptotic and thus undefined when approaching a domain-value from one side, but when approached from the opposite side it is indeterminate and thus a finite real value is approached.
These functions tend to be piece-wise. Sign In Don't have an account? Undefined is a term used when a mathematical result has no meaning. Indeterminate Values Unlike undefined values, indeterminates occur when we have a division of zero by zero , or division of infinities.
Calculus and the Evaluation of Limits Though the arithmetic evaluation of divisions by zero are mathematically impossible, producing either an indeterminate or undefined value, the study of calculus has necessitated their treatment with the use of limits. How does this section pertain to indeterminate and undefined expressions?
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