Work out l hopital rule instantly with clear inputs, formula shown and shareable results.
L'Hôpital's rule replaces a 0/0 quotient by the quotient of derivatives, repeating until substitution works. It is valid because near the point both functions behave like their linear approximations.
L'Hôpital's rule
if f(a) = g(a) = 0 then lim f/g = lim f'/g', provided the latter exists
It is 0/0, so differentiate to get 2x/1 = 2.
No. It requires an indeterminate form such as 0/0 or ∞/∞; applying it otherwise gives wrong answers.