L'Hopital Rule helps evaluate limits of indeterminate forms. Named after French mathematician Guillaume de l'Hôpital. Used when limits of two functions result in indeterminate forms
Limit of (1-cos(x))/x² approaches 0 as x approaches 0. Direct evaluation yields indeterminate result 0/0
L'Hospital's rule simplifies limit evaluation when numerator and denominator are indeterminate. Rule applies when limits of numerator and denominator are 0 or ±∞. Rule involves taking derivative of both numerator and denominator
If numerator and denominator are finite at a and g(a) ≠ 0, limit equals f(a)/g(a). When both numerator and denominator approach 0, limit can be anything
L'Hospital's rule evaluates limits involving indeterminate forms like 0/0 or ∞/∞. Rule can be applied multiple times with indefinite forms. Cannot be used when problem is out of indeterminate forms
L'Hopital's Rule helps find limits of indeterminate forms without using identities. Direct substitution of limits often yields zero/zero or infinity/infinity forms