L'Hôpital's Rule
/ˌloʊpiːˈtɑːlz ˈɹuːl/
L'Hôpital's Rule is the alternative letter-case form of L'Hôpital's rule.
Proper noun (1) capitalized: L'Hôpital's rule
L'Hôpital's rule
- The rule that the limit of the ratio of two functions equals the limit of the ratio of their derivatives, usable when the former limit is indeterminate and the latter limit exists.
Proper noun (2) capitalized: l'Hôpital's Rule
l'Hôpital's Rule
- Alternative letter-case form of L'Hôpital's rule.
- Many times a simple algebraic manipulation will put a limit into a form that we can study using l’Hôpital’s Rule.2006, Brian E. Blank, Steven George Krantz, “Applications of the Derivative”, in Calculus: Single Variable, Key College Publishing, →ISBN, section 6 (L’Hôpital’s Rule), page 303
- Notice that if you put x = 3, then both top and bottom of the fraction are 0. This means we can use l’Hôpital’s Rule.2007, Adrian Banner, “L’Hôpital’s Rule and Overview of Limits”, in The Calculus Lifesaver: All the Tools You Need to Excel at Calculus, Princeton, N.J.; Oxford: Princeton University Press, →ISBN...
Proper noun (3) capitalized: l'Hôpital's rule
l'Hôpital's rule
- Alternative letter-case form of L'Hôpital's rule.
- Many times, the limit of an exponential form can be determined by applying l'Hôpital's rule to the logarithm of the desired function.1985, Frederick H. Soon, “Limits, L'Hôpital's Rule, and Numerical Methods”, in Student’s Guide to Calculus by J. Marsden and A. Weinstein, volume II, Springer-Verlag, →ISBN, section 2 (L'Hôpital's...
- There are a number of applications of limits in physical chemistry, and l’Hôpital’s rule is useful in some of them.2005, Robert G. Mortimer, “Mathematical Functions and Differential Calculus”, in Mathematics for Physical Chemistry, 3rd edition, Elsevier, section “Limiting Values of Functions: L’Hôpital’s Rule”...
Forms of L'Hôpital's Rule
| alternative form | L'Hôpital's Rule |
|---|---|
| alternative form | l'Hôpital's Rule |
| alternative form | l'Hôpital's rule |
| alternative form | L'Hospital's rule |
| alternative form | rule of L'Hôpital |
| alternative form | rule of l'Hôpital |
Origin of L'Hôpital's Rule
Named after French mathematician Guillaume de l'Hôpital (1661–1704).
Questions about L'Hôpital's Rule
- What does L'Hôpital's Rule mean?
- L'Hôpital's Rule means the rule that the limit of the ratio of two functions equals the limit of the ratio of their derivatives, usable when the former limit is indeterminate and the latter limit exists.
- What is L'Hôpital's Rule the alternative letter-case form of?
- L'Hôpital's Rule is the alternative letter-case form of L'Hôpital's rule.
- What part of speech is L'Hôpital's Rule?
- L'Hôpital's Rule is a proper noun.
- How do you pronounce L'Hôpital's Rule?
- L'Hôpital's Rule is pronounced /ˌloʊpiːˈtɑːlz ˈɹuːl/.
Words near L'Hôpital's Rule in the dictionary
Source and license
Adapted from Wiktionary: L'Hôpital's Rule (page history and authors); L'Hôpital's rule (page history and authors); l'Hôpital's Rule (page history and authors); l'Hôpital's rule (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “L'Hôpital's Rule.” Word.ws, https://word.ws/l%27h%C3%B4pital%27s_rule. Based on Wiktionary, CC BY-SA 4.0.