Quantitative Methods
Lecture 7
L’Hospital’s rule
•BAKVM

Outline of the lecture
•L’Hospital’s rule
•Higher-order derivatives

L’Hospital’s rule



L’Hospital’s Rule



L’Hospital’s Rule



L’Hospital’s Rule



L’Hospital’s Rule



Notice



Theorem (L’Hospital’s Rule)



Theorem (L’Hospital’s Rule)



Higher-order derivatives



Higher-order derivatives



It also holds — Theorem
the derivatives exist
and are zero

Theorem



Theorem



Limit of the type  ∞−∞



Example



Example



Example (continued)



Example (continued)



Example (finished)



Example



Example (continued)



Example (continued)



Example (continued)



Example (finished)