Télécharger - M. Meyroneinc

(O;−→ u , −→ v)
Cz2−2z+ 2 = 0
z= 1 + ; z=z;z= 2z;z= 3.
z−3
z−3
h r π
2
0h00 0 r
0 00
f
f(x) = ex−1
xex+ 1
C(O;−→ i , −→ j)
hR
h(x) = xex+ 1
h x ∈Rh(x)>0
gR
g(x) = x+ 2 −ex
g−∞ +∞
g g

g(x) = 0 Rα β
α > β
1,14 < α < 1,15
g(x)x
f
f−∞ +∞
fRx
f0(x) = exg(x)
(xex+ 1)2
f
(T) (C) 0
x
f(x)−x=(x+ 1)ex(1 −x−e−x)
h(x)
u, eu≥1 + u f(x)−x
(C) (T)
u, eu≥1 + u Cexp
0
y0=ay a ∈R
gRg(x) = Kax K∈R
y0=ay +b
a∈R∗b∈R
uRu(x) = −b
a
fR
f⇐⇒ f−u y0=ay

v(t)
t t v(t)
v[0 ; +∞[
v
10v0(t) + v(t) = 30.
v(0) = 0
v(t) = 30 
1−
−
t
10 
v[0 ; +∞[
v+∞
v0(t)−2t
210
22009 + 2009
p
An= 2n+p
dnAnAn+1
dn2n
Anp
dnp
22009 + 2009 22010 + 2009

x ex> x lim
x→+∞ex
2y0−y= 5
y(4) = 1
f[0 ; +∞[
f(x) = −xcos(4x)
Γf+∞
(O;−→ u , −→ v)
2i
M z 2i
(z−2 ) = π
4+k×2π(k∈Z).
M z z = 2 + 2 θ, θ R
M z 6=−2M0z0z0=z−1
z+ 2
M z −2|z0|= 1