Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
indeterminate forms
0/0 ∞/∞ |
| gptkbp:author |
gptkb:Johann_Bernoulli
|
| gptkbp:category |
limit theorems
|
| gptkbp:field |
calculus
|
| gptkbp:firstPublished |
1696
|
| https://www.w3.org/2000/01/rdf-schema#label |
L'Hôpital's rule
|
| gptkbp:namedAfter |
gptkb:Guillaume_de_l'Hôpital
|
| gptkbp:publishedIn |
gptkb:Analyse_des_Infiniment_Petits
|
| gptkbp:relatedTo |
gptkb:Cauchy's_mean_value_theorem
differentiation indeterminate forms in calculus |
| gptkbp:requires |
differentiable functions
derivatives exist near the point |
| gptkbp:sentence |
If lim_{x→c} f(x)/g(x) is of the form 0/0 or ∞/∞, then lim_{x→c} f(x)/g(x) = lim_{x→c} f'(x)/g'(x) if the latter limit exists.
|
| gptkbp:usedFor |
evaluating limits
|
| gptkbp:bfsParent |
gptkb:Guillaume_de_l'Hôpital
gptkb:Pierre_Dospital gptkb:l'Hôpital's_rule gptkb:Louis_de_L'Hôpital gptkb:L'Hospital's_rule |
| gptkbp:bfsLayer |
7
|