1)0/0: forme indéterminée 2)(e^x)'=e^x 3)quand x->0, lim(e^x-1)/x=lim e^x/1=1/1=1
II) a) lim sin x /x=0/0=> lim sin x /x=lim cos x/1=1 b)lim (cos x-1)/x= (1-1)/0 => lim (cos x-1)/x=lim -sin x /1=0/1=0 c) quand x->1 lim (Vx-1)/(x-1)=0/0->lim (Vx-1)/(x-1)= lim (Vx-1)/((Vx-1)(Vx+1)) =lim 1/(Vx+1)=1/2
Lista de comentários
Verified answer
Bonsoir,1)0/0: forme indéterminée
2)(e^x)'=e^x
3)quand x->0,
lim(e^x-1)/x=lim e^x/1=1/1=1
II)
a) lim sin x /x=0/0=> lim sin x /x=lim cos x/1=1
b)lim (cos x-1)/x= (1-1)/0 => lim (cos x-1)/x=lim -sin x /1=0/1=0
c) quand x->1 lim (Vx-1)/(x-1)=0/0->lim (Vx-1)/(x-1)= lim (Vx-1)/((Vx-1)(Vx+1))
=lim 1/(Vx+1)=1/2