**TI82** TxtView file generated by CalcText - Kouri“ „analyse„‚˙Fonctions et limitesFONCTIONS USUELLES 1-Exponentielle: e(0)=1 ; e(a+b)=e(a)e(b) ; e(a-b)=e(a)/e(b) ; e(a)^b=e(ab) 2-Logarithme: y=ln(x) x>0 x=e^y ln1=0 ; ln(ab)=ln(a)+ln(b); ln(a/b)= ln(a)-ln(b) ; ln(a^b)=bln(a) 3-Puissance: a^b=e^[b.ln(a)] si a>0 LIMITES 1-Fonctions: -Limites en +infini: lim e^x = +inf lim ln^x = +inf lim ([e^x]/x) = +inf lim (ln[x]/x) = 0 Si a>0: lim ([e^x]/x^a) = +inf lim (ln[x]/x^a) = 0 lim [x^a].[e^-x] = 0 -Limites en -infini: lim e^x = 0 lim xe^x = 0 -Limites en 0: lim lnx = -inf 2-Suites: en +infini suite géometrique: lim q^n = +inf si q>1 = 0 si -1