1. Exercice 25
(a) Comme lim (f ◦ g)(x) = lim f (g(x))
+ +
x→0 x→0
On calcule successivement :
lim g(x) = 2+ et lim f (x) = −∞
x→0+ x→2+
(b) Comme lim (f ◦ g)(x) = lim f (g(x))
− −
x→5 x→5
On calcule successivement :
lim g(x) = +∞ et lim f (x) = 2
x→5− x→+∞