suite.py

Created by elisapuce2005

Created on April 22, 2022

654 Bytes

On définit la forme récurrente d'une 
suite par:
  - son premier terme Un
  - sa relation de récurrence 
    Un+1 =f(Un)

Une suite est défini de façon 
explicite quand le terme u, est exprimé
en fonction de n, c'est à dire 
lorsqu'il existe une fonction f
telle que Un=f(n)

Soit une suite (Un) définie pour tout n e N

Un est une suite croissante 
si Un<Un+1
Un est une suite décroissante 
si Un>Un+1

Si Un+1-Un>0, Un<Un+1 alors la suite
est croissante
Si Un+1-Un<0, Un>Un+1 alors la suite
est décroissante

si Un tend vers 2 lorsque n
tend vers +inf, lim Un=2
Un tend vers +inf lorsque n 
tend vers +inf : 
lim Un=+inf n->+inf

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