livret de chauffe
(un)n∈NP(un+1 −un)
un=
O(vn)un, vn>0PvnPun
P1
nα(ln n)β·
n
P
k=1
1
k= ln n+γ+o(1)
n∈Nun=(2n)!
4nn!2·
ln(un+1)−ln(un)n+∞
un−→
n→+∞0
nun−→
n→+∞+∞
a > 0n∈Nun=an
(1 + a)(1 + a2)···(1 + an)·
Puna > 0
bn/3c
P
k=0 n
3k
n∈N∗an=1
12+ 22+··· +n2·
P
n∈N∗
an
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