What is L'Hospital's Rule and when do we use it?

[MaiH648500]

I came across L'Hospital's Rule in calculus. Can someone explain how it works and give a simple example of when to use it?

 

[Lucas]

L'Hospital's Rule helps find limits of indeterminate forms like 0/0 or ∞/∞ by differentiating the numerator and denominator.

 

[Lucky]

L'Hospital's Rule helps solve limits that result in indeterminate forms like 0/0 or ∞/∞. It states that the limit of a ratio of functions equals the limit of their derivatives, if it exists. It’s widely used in calculus to simplify complex limits involving differentiation.

 

[Gsusangrey]

A calculus theorem known as L'Hôpital's Rule aids in the evaluation of limits of quotients of two functions when direct substitution yields an indeterminate form, namely 0/0 or ∞/∞