l'Hôpital's Rule

See also: L'Hôpital's Rule, L'Hôpital's rule, and l'Hôpital's rule

English

Proper noun

l’Hôpital's Rule

1. Alternative letter-case form of L'Hôpital's rule
   • 2006, Brian E. Blank, Steven George Krantz, “Applications of the Derivative”, in Calculus: Single Variable, Key College Publishing, →ISBN, section 6 (L’Hôpital’s Rule), page 303:

     Many times a simple algebraic manipulation will put a limit into a form that we can study using l’Hôpital’s Rule.

   • 2007, Adrian Banner, “L’Hôpital’s Rule and Overview of Limits”, in The Calculus Lifesaver: All the Tools You Need to Excel at Calculus, Princeton, N.J., Oxford: Princeton University Press, →ISBN, section 1 (L’Hôpital’s Rule), subsection 1 (Type A: 0/0 case), page 295:

     Notice that if you put x = 3, then both top and bottom of the fraction are 0. This means we can use l’Hôpital’s Rule.

   • 2017, Soo T. Tan, “Appendix B”, in Applied Calculus for the Managerial, Life, and Social Sciences, 10th edition, Cengage Learning, section 2 (The Indeterminate Forms 0/0 and ∞/∞ and l’Hôpital’s Rule), page 845:

     To resolve a limit involving an indeterminate form, we sometimes need to apply l’Hôpital’s Rule more than once.