limites_fonctions.py

Created by baylemaxime34

Created on December 22, 2023

696 Bytes

Si lim f(x) = L, alors c’est une asymptote horizontale (n-> +inf ou n-> -inf)
Si lim f(x) = +inf ou -inf, alors c’est une asymptote verticale (n-> A)

Lim (1/x) quand n tend vers 0+ = +inf
Lim (1/x) quand n tend vers 0- = -inf

Théorème des croissances composés :
Lim (e^x/x^n) = +inf
Lim (x^n/e^x) = 0
Lim x^n*e^x = 0

Limites quand n->+inf :
Lim x = +inf
Lim 1/x = 0+
Lim √x = +inf
Lim 1/√x = 0+
Lim x^2 = +inf
Lim 1/x^2 = 0+
Lim x^n = +inf 
Lim 1/x^n = 0+
Lim e^x = +inf
Lim 1/e^x = 0+

Limites quand n-> -inf :
Lim x = -inf
Lim 1/x = 0-
Lim x^2 = +inf
Lim 1/x^2 = 0+
Lim x^3 = -inf 
Lim e^x = 0+
Lim x^2n+1 = -inf
Lim 1/x^2n+1 = 0-
Lim x^2n = +inf
Lim 1/x^2n = 0+

During your visit to our site, NumWorks needs to install "cookies" or use other technologies to collect data about you in order to:

Ensure the proper functioning of the site (essential cookies); and
Track your browsing to send you personalized communications if you have created a professional account on the site and can be contacted (audience measurement cookies).

With the exception of Cookies essential to the operation of the site, NumWorks leaves you the choice: you can accept Cookies for audience measurement by clicking on the "Accept and continue" button, or refuse these Cookies by clicking on the "Continue without accepting" button or by continuing your browsing. You can update your choice at any time by clicking on the link "Manage my cookies" at the bottom of the page. For more information, please consult our cookies policy.

Accept and continue Continue without accepting