Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:L'Hôpital's_rule
|
| gptkbp:appliesTo |
limits
0/0 form indeterminate forms ∞/∞ form |
| gptkbp:attributedTo |
gptkb:Johann_Bernoulli
|
| gptkbp:category |
mathematical analysis
limit theorems |
| gptkbp:field |
calculus
|
| gptkbp:firstPublished |
gptkb:Analyse_des_Infiniment_Petits
1696 |
| https://www.w3.org/2000/01/rdf-schema#label |
L'Hospital's rule
|
| gptkbp:namedAfter |
gptkb:Guillaume_de_l'Hôpital
|
| gptkbp:prerequisite |
continuity
differentiation |
| gptkbp:relatedTo |
gptkb:Taylor's_theorem
gptkb:Cauchy's_mean_value_theorem indeterminate forms in calculus |
| gptkbp:requires |
derivatives
differentiability |
| 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 |
finding limits of quotients
|
| gptkbp:bfsParent |
gptkb:L'Hôpital's_rule_(mathematics)
|
| gptkbp:bfsLayer |
6
|