Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alternativeName |
L'Hospital's Theorem
L'Hôpital's Rule |
| gptkbp:appliesTo |
indeterminate forms
0/0 ∞/∞ |
| gptkbp:category |
limit theorems
|
| gptkbp:field |
calculus
|
| https://www.w3.org/2000/01/rdf-schema#label |
L'Hospital's Rule
|
| gptkbp:languageOfOrigin |
gptkb:French
|
| gptkbp:namedAfter |
gptkb:Guillaume_de_l'Hôpital
|
| gptkbp:prerequisite |
differentiation
limits |
| gptkbp:publicationYear |
1696
|
| gptkbp:publishedIn |
gptkb:Analyse_des_Infiniment_Petits
|
| gptkbp:relatedTo |
Cauchy's Mean Value Theorem
|
| gptkbp:requires |
differentiable functions
derivatives exist near the point |
| gptkbp:state |
If lim f(x)/g(x) as x→a is 0/0 or ∞/∞, then lim f(x)/g(x) = lim f'(x)/g'(x) if the latter limit exists
|
| gptkbp:usedFor |
evaluating limits
|
| gptkbp:bfsParent |
gptkb:AP_Calculus_BC
|
| gptkbp:bfsLayer |
7
|