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T
(O;~ i,~ j)
f(x) = sin(x)−2 cos(x)
esin(x)
R
g g(x) = ln 2−3x
5 + xg
R
x7→ f(x+a)
f
f(x) = sin(x)−2 cos(x)
esin(x)
R
g g(x) = s2−3x
5 + x. g
R

ln x7→ 1
x
lim
x→−∞ xexlim x→+∞
ln(x)
x
6=−π
2cos −π 2= 0
∀x∈[−1,1],cos( ) = √1−x2
∀x∈R+,1−x2
1 + x2= 2
sin(x) cos(x) = 1
4R[0, π]
sin(x)−1
sin(x)=3 2R
f(x) = √x2−4x+ 8 [2,+∞[
u7→ 2
u2−1
u=√1 + e2xZdx
√1 + e2x
x7→ x
x2+ 2x+ 2
√1−x2y0+y= 1
y0+1
xy=1
√x2+ 1
Z1
2
0
(x)dx Zπ
0
cos3(x) sin(x)dx
n∈N∗
n
n
n n ∈ {1,2,3,4}

f:E→F A ⊂E B ⊂F
f(A)
f−1(B)
f:R2→R
(x, y)7→ x+y
h:N→N
n7→ 2n+ 1
g:R2→R2
(x, y)7→ (x+y, xy)