Soient \({u,v} : {\R} \to {\R}\) deux fonctions telles que : \(\begin{cases}\forall\ x \in \R,\ u(x) \ne v(x) \cr \lim_{x\to0}u(x) = \lim_{x\to0}v(x) = a > 0.\cr\end{cases}\)
1
Chercher \(\lim_{x\to0} \frac {u^v - v^v}{u - v}\).
2
Chercher \(\lim_{x\to0} \frac {u^v - v^u}{u^u - v^v}\).