Exercice 1 Exercice 2 Inégalité de Boole Exercice 3

un
un=ln 3 + sin( 1
n)
3−sin( 1
n)
un= (−1)nne−n
un=n4ln(3n)
e2n
A1, . . . , An(Ω,T,P)
n≥1
P n
[
i=1
Ai!≤
n
X
i=1
P(Ai)
A B C p
P(A∩B∩C)=0
p≤2
3
10 6 4
3
3

un
un=n+e−2n
n4+n2+ 1
un=(−1)ncos(n)
n2√n
un=e−√5+n
A1, . . . , An(Ω,T,P)
n∈N∗
P(A1∩A2∩. . . ∩An) =
n
X
k=1
(−1)k−1X
1≤i1<i2<...<ik≤n
P(Ai1∪Ai2∪. . . ∪Aik)
5 52 52
5

un
un=ln(n)
n4
un=1
n−ln 1 + 1 n
un=n−1
nn√n
1
2A
∀n∈N∗Ann
∀k∈N∗Ekk
Ekk≥1
Ann≥1
A1
2n1 2n n ≥1
n
2n+ 1 0
2n