fallacy of l'Hôpital's rule

ƒ(x) ≠ ƒ′(x)

g(x) ≠ g′(x)

 

{\displaystyle \lim _{x\to c}{\frac {f(x)}{g(x)}}} ≠ \lim _{x\to c}{\frac {f'(x)}{g'(x)}}

 

 T.theodor