basee.py

Created on February 08, 2023

490 Bytes

Fonction expo base e ln

e0=1
e-a=1/ea
ea*eb=ea+b
(ea)b=eab
ea/eb=ea-b

(ex)'=ex
(ekx)'=k*ekx

lim ex=0 
(x tend vers -infini)

lim ex=+infini 
(x tend vers +infini)

lim e-x=lim 1/ex=0
(x tend vers +infini)

ln(ab)=ln(a)+ln(b)
ln(1/b)=-ln(b)
ln(a/b)=ln(a)-ln(b)

ln(a**n)=nln(a)
ln(a**x)=xln(a)

(ln(x))'=1/x

lim ln(x)=-infini
(x tend vers 0+)

lim ln(x)=+infini
(x tend vers +infini)

lim xln(x)=0
(x tend vers 0+)

lim ln(x)/Xn=0
(x tend vers +infini)

lim Xn/ln(x)=+infini

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