maths.py

Created by laurahenriet4

Created on October 09, 2023

719 Bytes

lim np=+inf 
lim en=+inf 
lim-np=-inf
FI=
+inf -inf
0*inf
inf/inf
0/0
théorme de comparaison= 
Un<Vn Un=-inf donc Un=-inf
Un>vn Vn=+inf donc Un=+inf 
autre cas on peut pas conclure
théorme des gendarmes=
Un<Vn<Wn Un=l Wn=l donc Vn=l 
limites finies=
lim 1/np=0
suites géometrique=
recurence Un+1=Un*q
explicite Un=U0*qn
de la somme 
S=1er terme*1-q nb de termes/1-q
augmentation t% *(1+t/100)
diminution t%  *(1-t/100)
limite de qn=0 si 0<q<1
limite de qn= +inf si q>1
suite arithmético-geometrique 
Un+1=aUn+b
1 recherche de l-> equation a resoudre
l=al+b
2 systeme Un+1=aUn+b
          l=al+b
    l1-l2
(Un-l) est géometrique + raison q=a+premier terme 
3 formule+ limite (de qn)
-> Un-l= (U0-l)*qn

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