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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.
洛必達法則（有的教科书称为罗比塔法则 ）（法語： Règle de L'Hôpital ，英語： L'Hôpital's rule ）是利用導數來計算具有不定型的極限的方法。該法則以法國數學家纪尧姆·德·洛必达的名字命名，但實际上是由瑞士 數學家 約翰·伯努利 所發現。
When you are solving a limit, and get 0/0 or ∞/∞, L'Hôpital's rule is the tool you need. Created by Sal Khan.
- 9 min
- Sal Khan
- At 0:59, Sal says there are indeterminate forms like 0/0 and infinity/infinity. Are there any other ...A form is indeterminate if we can't tell what the limit is just by looking at the form. For example, a form that looks like 0/0 or infinity/infinit...
- even after applying the l'hopital's rule, if it remains in 0/0 or other indefined form then?If it remains 0/0 or ∞/∞ then you can repeat l'Hopital's rule. However, sometimes l"Hopital's will never produce determinate form, so you have to s...
- Who is L'HopitalHe was a 17th century French mathematician. More - http://en.wikipedia.org/wiki/Guillaume_de_l%27Hôpital
- Okay, so I know how about L'Hopital's rule and what it is, maybe a bit about how to use it. But why ...The link from hkapur97 is broken. Here is a working link: http://en.wikipedia.org/wiki/Lhopitals_rule
- Isn't infinity over infinity just equal to 1, or negative infinity over infinity equal to -1? My bra...But infinity isn't a number or a value. Consider what x^2 / x is as x goes to infinity: you get ∞/∞. However, x^2 / x can be simplified to x, and a...
- Why does this work? It is great that it works, but why?It's good that you ask why something works. There is a video on its proof later on (https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-context...
- If lim f(x) is defined and lim g(x) is defined, we wouldn't need L'Hopital's rule to find lim f(x)/g...L'Hôpital's rule can only be applied in the case where direct substitution yields an indeterminate form, meaning 0/0 or ±∞/±∞. So if f and g are de...
- Does this only apply to fractionsYes, it applies only to fractions of the format f(x)/g(x).
- Hello! This is Akshat of Grade 10! I havea small doubt - So can we say that 0/0 = 1.Say you have a real number c, and you say that x = c/0. Multiplying both sides by 0, you get c = 0*x. If c is any number other than zero, the laws...
- What do you do if you get infinity times zero when plugging in as a test for l'hopital?That is not a correct form for l'Hôpital's rule, so it is still indeterminate. You need to convert it to something that is a l'Hôpital's form. Spec...
L'Hôpital's rule helps us find many limits where direct substitution ends with the indeterminate forms 0/0 or ∞/∞. Review how (and when) it's applied. What is L'Hôpital's rule? L'Hôpital's rule helps us evaluate indeterminate limits of the form 0 0 or ∞ ∞ .
- Why is 1^infinity an indeterminate form?This stems from the fact that all of the limits in calculus of this type have something to do with the number *e* (2.71828...) e is actually define...
- In the explanation to problem 1.2, the derivative of the top equation is shown as ```d/dx[xcos(πx)]...We multiply by π because (by the chain rule) we're multiplying by the derivative of xπ, the function inside of the sine function.
- what is the derivative of e^1/2 or e^0.5e^0.5 is a constant, around 1.65. So the derivative is just 0.
- What about lim x→0 cot(x)/In(x)?If you apply L'Hôpital's rule,try to differentiate this,you will get...Direct substitution gives ∞/∞, so taking the derivatives of according to l'Hôpital yields -csc²(x)/(1/x). This rearranges into -x/sin²(x). Direct s...
29 de dic. de 2022 · This tool, known as L’Hôpital’s rule, uses derivatives to calculate limits. With this rule, we will be able to evaluate many limits we have not yet been able to determine. Instead of relying on numerical evidence to conjecture that a limit exists, we will be able to show definitively that a limit exists and to determine its ...
La regla de l'Hôpital se aplica para salvar indeterminaciones que resultan de reemplazar el valor numérico al llevar al límite las funciones dadas. La regla dice que se deriva el numerador y el denominador por separado; es decir: sean las funciones originales f ( x )/ g ( x ), al aplicar la regla se obtendrá: f' (x) / g' (x) .
12 de abr. de 2024 · L’Hôpital’s rule, in analysis, procedure of differential calculus for evaluating indeterminate forms such as 0/0 and ∞/∞ when they result from an attempt to find a limit. It is named for the French mathematician Guillaume-François-Antoine, marquis de L’Hôpital, who purchased the formula from his.
