L'Hôpital's rule

<http://www.wikidata.org/entity/Q190557>

rule that uses derivatives to help evaluate limits involving indeterminate forms

rdfs:label	"Atur L’Hôpital"@iba "Aturan L'Hôpital"@id "Aturan L'Hôpital"@su "Hospitalii regula"@la "Hukum de l'Hôpital"@ms "L'Hopital Kuralı"@tr "L'Hospitalovo pravidlo"@cs "L'Hôpital's rule"@en "L'Hôpitalen erregela"@eu "L'Hôpitals regel"@da "L'Hôpitals regel"@nb "L'Hôpitals regel"@sv "Lopital qaydası"@az "Lopital teoremasi"@uz "Lopitalovo pravilo"@sr-el "Lopitāla kārtula"@lv "L’Hospitalovo pravidlo"@sk "L’Hôpital-szabály"@hu "L’Hôpitalin sääntö"@fi "Quy tắc l'Hôpital"@vi "Regel von L’Hopital"@de "Regla de L'Hôpital"@ca "Regla l'Hôpitals"@is "Regola del de l'Hôpital"@lmo "Regula lui l'Hôpital"@ro "Reguła de l'Hospitala"@pl "l'Hôpitalovo pravilo"@bs "l'Hôpitalovo pravilo"@sl "regel van l'Hôpital"@nl "regla de l'Hôpital"@es "regola di de l'Hôpital"@it "regra de l'Hôpital"@gl "regra de l'Hôpital"@pt "regra de l'Hôpital"@pt-br "regulo de L’Hôpital"@eo "règle de L'Hôpital"@fr "Лопиталдын Эрежеси"@ky "Лопиталово правило"@mk "Лопиталово правило"@sr "Лопиталово правило"@sr-ec "Лопиталь ережесі"@kk "Лопиталь йĕркевĕ"@cv "Правило Лопиталя"@ru "правило Лопіталя"@uk "правило на Лопитал"@bg "Լոպիտալի կանոն"@hy "כלל לופיטל"@he "قاعدة لوبيتال"@ar "قاعده هوپیتال"@fa "ڕێسای لۆپیتاڵ"@ckb "लोपिताल का नियम"@hi "लोपितालके नियम"@mag "লা'হোপিটাল নিয়ম"@bn "லாபிதாலின் விதி"@ta "എൽ ഹോസ്പിറ്റൽ നിയമം"@ml "ලොස්පිටාල් නියමය"@si "หลักเกณฑ์โลปีตาล"@th "လိုပီတယ် စည်းမျဉ်း"@my "ロピタルの定理"@ja "洛必达法则"@zh "洛必达法则"@zh-cn "洛必达法则"@zh-hans "洛必达法则"@zh-sg "洛必達法則"@zh-hant "洛必達法則"@zh-hk "羅必達法則"@zh-tw "로피탈의 정리"@ko
skos:altLabel	"Bernoulli-L'Hôpital's rule"@en "Bernoulli-L’Hospital-szabály"@hu "Bernoulli-L’Hôpital-szabály"@hu "Hopitalin sääntö"@fi "Hospitalin sääntö"@fi "Hospitals regel"@sv "Hôpital"@ca "L Hospital Rule"@ml "L Hospital's Rule"@ml "L'Hopital'sche Regel"@de "L'Hopitalen erregela"@eu "L'Hopitals regel"@sv "L'Hopitalsche Regel"@de "L'Hospitalin sääntö"@fi "L'Hospitalovo pravilo"@sl "L'Hospitalovo pravilo"@sr "L'Hospitals regel"@sv "L'Hôpital kuralı"@tr "L'Hôpital's rule"@ml "L'Hôpital'sche Regel"@de "L'Hôpitalin sääntö"@fi "L'Hôpitalsche Regel"@de "LHospitals regel"@sv "Lopitalovo pravilo"@bs "L´Hospitals regel"@sv "L´Hôpitals regel"@sv "L’Hopitals regel"@sv "L’Hospital-szabály"@hu "L’Hospitals regel"@sv "L’Hôpitalovo pravidlo"@sk "L’Hôpitals regel"@sv "L’Hôspital-szabály"@hu "Regel van L'Hospital"@nl "Regel van l'Hopital"@nl "Regel von L'Hopital"@de "Regel von L'Hôpital"@de "Regel von de L'Hopital"@de "Regel von l'Hopital"@de "Satz von L'Hopital"@de "Satz von L’Hopital"@de "Twierdzenie de L'Hospitala"@pl "metodo di de L'Hôpital"@it "regla d'Hôpital"@ca "regla de L'Hospital"@ca "regla de L’Hôpital"@ca "regles de L'Hospital"@ca "regles de l'Hôpital"@ca "regola di De L'Hospital"@it "regola di L'Hopital"@it "regola di L'Hospital"@it "regola di L'Hôpital"@it "regola di de l'Hopital"@it "regra de Cauchy"@pt "règle de Bernoulli"@fr "règle de L'Hospital"@fr "teorema de l'Hopital"@it "teorema di De l'Hopital"@it "théorème de Bernoulli-L'Hospital"@fr "théorème de l'Hospital"@fr "Лопиталова теорема"@sr "Лопиталя правило"@ru "Лопіталя правило"@uk "Правило Лопиталя - Бернулли"@ru "Правило Лопиталя — Бернулли"@ru "Правило Лопиталя-Бернулли"@ru "правила Лопіталя"@uk "הכלל של לופיטל"@he "כלל ל'הופיטאל"@he "כלל ל'ופיטאל"@he "כלל ל'ופיטל"@he "כלל לופיטאל"@he "قاعدة اوبيتال"@ar "قاعدة لوبتال"@ar "قاعده لوبيتال"@ar "قاعده لوپیتال"@fa "قاعده هاسپیتال"@fa "قاعدهٔ هوپیتال"@fa "قانون هاسپیتال"@fa "बर्नौली-लोपितालके नियम"@mag "洛必達法則"@zh "洛比達法則"@zh "罗必塔法则"@zh "罗必达法则"@zh "로피탈 정리"@ko "로피탈정리"@ko
schema:description	"bir fonksiyonun limitini türevle almak için yapılan bir formül"@tr "matemaattinen menetelmä"@fi "matematikai állítás"@hu "matematisk metod"@sv "mathematischer Satz"@de "regla de cálculo diferencial que usa derivadas para ayudar a evaluar límites que involucran formas indeterminadas"@es "regla per calcular límits amb coeficients indeterminats"@ca "regra que usa derivadas para axudar a avaliar límites que implican formas indeterminadas"@gl "regulă în matematică pentru evaluarea unor limite"@ro "rule that uses derivatives to help evaluate limits involving indeterminate forms"@en "règle permettant de déterminer certaines limites"@fr "teorema di analisi matematica"@it "twierdzenie rachunku różniczkowego służące obliczaniu niektórych granic funkcji"@pl "математичне правило / правила"@uk "метод в математическия анализ"@bg "метод нахождения пределов функций, раскрывающий неопределённости вида 0/0 и беск-сть/беск-сть"@ru "משפט מתמטי בחשבון אינפיניטסימלי"@he "تستعمل الاشتقاق بهدف إيجاد النهايات لصيغ غير محددة (حالات عدم التعيين)"@ar "कुछ सीमाओं के मूल्यांकन का गणितीय नियम"@hi "कुछ सीमाके मूल्याङ्कनके गणितीय नियम"@mag "বিভিন্ন ধরনের সীমা নির্ধারণের জন্য ব্যবহৃত অন্তরকলনীয় কৌশল"@bn "使用衍生工具幫助評估涉及不確定形式的限制的法則"@zh "微分積分学において不定形の極限を微分を用いて求めるための定理"@ja "미적분학에서 부정형의 극한을 미분을 사용해 구하는 정리"@ko
schema:dateModified	"2026-11-05T10:31:57+00:00"^^xsd:dateTime
schema:version	2564981640
wikibase:identifiers	11
wikibase:sitelinks	59
wikibase:statements	27
p:P11497	wd:statement/Q190557-55027a89-4c3a-60ef-77b1-4f19be3a2a3f
p:P12385	wd:statement/Q190557-e392dcf0-d651-44d0-9f88-065d9134538b
p:P1296	wd:statement/Q190557-B2523570-C4F7-450C-9550-7015FBF956DE
p:P138	wd:statement/q190557-CAD172DC-0CAE-490E-A481-9002CC9F1680
p:P18	wd:statement/Q190557-cddc7ca8-452f-fce4-fcd0-c9995194c8ec
p:P2384	wd:statement/Q190557-2F3076BB-C805-466E-9277-AAE4D4862C34
p:P2534	wd:statement/Q190557-de5aacc3-40ec-0085-ab1a-5bf4b2d88186
p:P2579	wd:statement/Q190557-1A3DEABD-D0FB-417A-8331-FA1F11AAD677
p:P2812	wd:statement/Q190557-afe11754-48fb-cc02-9e50-a26acfd19bf5
p:P31	wd:statement/Q190557-D8D05F22-562F-4856-BF5A-BFEBC300EC64
p:P3222	wd:statement/Q190557-4074C043-72F5-48C3-B92C-F46C3C7821D1
p:P3417	wd:statement/Q190557-05EF2647-CFE8-4CC2-AD4C-662888706875
p:P373	wd:statement/Q190557-7ee46da3-4670-be83-9395-33022feb98e5
p:P61	wd:statement/Q190557-bc8dd37d-459c-7b55-8095-438c46072fbd
p:P6104	wd:statement/Q190557-8079F714-7401-4140-A987-8DEE1F90BB66
p:P6366	wd:statement/Q190557-B3AE593E-49BA-4199-843F-C74BFD220606
p:P646	wd:statement/Q190557-15E73A6B-6E0B-47F9-8486-838EA8049B98
p:P6564	wd:statement/Q190557-24543372-468b-5e5b-0bfb-d4bb2feba5ed
p:P7235	wd:statement/Q190557-7d747db8-494e-bc33-5542-3bc07a02f3b3
	wd:statement/Q190557-c3e9cb0f-4039-beb0-499d-ee78bdbae633
	wd:statement/Q190557-d5b8be75-4dc8-ac46-a610-8a79246b07c0
	wd:statement/Q190557-ee079ed0-4225-825b-5770-5800877115c3
p:P737	wd:statement/Q190557-ffde506b-4119-117e-6c59-5f0e4986c9ee
p:P7554	wd:statement/Q190557-606A19B2-9668-4400-8550-652DFC31C62D
p:P7726	wd:statement/Q190557-e2e8ebc8-4871-2467-d6bd-286ad680cfcf
p:P973	wd:statement/Q190557-22e1dfa0-41b6-c10e-97c5-7ddfec0ccd39
	wd:statement/Q190557-60708b11-425d-4f04-8293-134100721826
p:direct-normalized/P6366	<https://makg.org/entity/106488066>
wdt:P11497	"1.4.E15"
wdt:P12385	"regla-de-lhopital"
wdt:P1296	"0037117"
wdt:P138	Guillaume de l'Hôpital
wdt:P18	<http://commons.wikimedia.org/wiki/Special:FilePath/Guillaume%20de%20l%27H%C3%B4pital.jpg>
wdt:P2384	indeterminate form
wdt:P2534	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munder><mi form="prefix">lim</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mo stretchy="false" accent="false">→</mo><mi>a</mi></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><munder><mi form="prefix">lim</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>x</mi><mo stretchy="false" accent="false">→</mo><mi>a</mi></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>f</mi><mo>′</mo></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>g</mi><mo>′</mo></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579	calculus
wdt:P2812	"LHospitalsRule"
wdt:P31	theorem
wdt:P3222	"l-hospitals-regel"
wdt:P3417	"LHôpitals-Rule"
wdt:P373	"L'Hôpital's rule"
wdt:P61	Johann Bernoulli
wdt:P6104	WikiProject Mathematics
wdt:P6366	"106488066"
wdt:P646	"/m/04pq7"
wdt:P6564	"lhopitals-rule"
wdt:P7235	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
	"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>lim</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P737	Stolz–Cesàro theorem
wdt:P7554	"L'Hospital_rule"
wdt:P7726	"LHopitalsRule"
wdt:P973	<https://tutorial.math.lamar.edu/classes/calci/lhospitalsrule.aspx>
	<https://www.mathsisfun.com/calculus/l-hopitals-rule.html>

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