u_0

u_1

u_2

u_3

u_1

u_2

u_3

u_4

f(x)=

$ u_{n+1} = f\left( u_{n}  \right)  $

u_0 = 3 (slider from -15 to 15, step 0.1)
f(x) = 3 / (x + 1)
A1: u_0
B1: f(A1)
A2: B1
B2: f(A2)
A3: B2
B3: f(A3)
A4: B3
B4: f(A4)
A5: B4
B5: f(A5)
A6: B5
B6: f(A6)
A7: B6
B7: f(A7)
A8: B7
B8: f(A8)
A9: B8
B9: f(A9)
A10: B9
B10: f(A10)
A11: B10
B11: f(A11)
A12: B11
B12: f(A12)
A: (A1, B1)
B: (A2, B2)
C: (A3, B3)
D: (A4, B4)
E: (A5, B5)
F: (A6, B6)
G: (A7, B7)
H: (A8, B8)
I: (A9, B9)
J: (A10, B10)
K: (A11, B11)
L: (A12, B12)
liste1: {A, B, C, D, E, F, G, H, I, J, K, L}
M = (0.2, 0.2)
N = (0.8, 0.8)
a = Line(M, N)
C1 = 0
C2 = 0
C3 = 0
C4 = 0
C5 = 0
C6 = 0
C7 = 0
C8 = 0
C9 = 0
C10 = 0
C11 = 0
C12 = 0
O: (A1, C1)
P: (A2, C2)
Q: (A3, C3)
R: (A4, C4)
S: (A5, C5)
T: (A6, C6)
U: (A7, C7)
V: (A8, C8)
W: (A9, C9)
Z: (A10, C10)
A_1: (A11, C11)
B_1: (A12, C12)
liste2: {O, P, Q, R, S, T, U, V, W, Z, A_1, B_1}
D1: A1
D2: A2
D3: A3
D4: A4
D5: A5
D6: A6
D7: A7
D8: A8
D9: A9
D10: A10
D11: A11
D12: A12
C_1: (C1, D1)
D_1: (C2, D2)
E_1: (C3, D3)
F_1: (C4, D4)
G_1: (C5, D5)
H_1: (C6, D6)
I_1: (C7, D7)
J_1: (C8, D8)
K_1: (C9, D9)
L_1: (C10, D10)
M_1: (C11, D11)
N_1: (C12, D12)
liste3: {C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1}
b = Segment(O, A)
O_1: (A1, D1)
P_1: (A2, D2)
Q_1: (A3, D3)
R_1: (A4, D4)
S_1: (A5, D5)
T_1: (A6, D6)
U_1: (A7, D7)
V_1: (A8, D8)
W_1: (A9, D9)
Z_1: (A10, D10)
A_2: (A11, D11)
B_2: (A12, D12)
liste4: {O_1, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2}
c = Segment(A, P_1)
d = Segment(P_1, B)
e = Segment(B, Q_1)
g = Segment(Q_1, C)
h = Segment(C, R_1)
i = Segment(R_1, D)
j = Segment(D, S_1)
k = Segment(S_1, E)
l = Segment(E, T_1)
m = Segment(T_1, F)
n = Segment(F, U_1)
p = Segment(U_1, G)
q = Segment(G, V_1)
r = Segment(V_1, H)
s = Segment(H, W_1)
t = Segment(W_1, I)
a_1 = Segment(I, Z_1)
b_1 = Segment(Z_1, J)
c_1 = Segment(J, A_2)
d_1 = Segment(A_2, K)
e_1 = Segment(K, B_2)
f_1 = Segment(B_2, L)
g_1 = Segment(P, P_1)
h_1 = Segment(P_1, D_1)
i_1 = Segment(B, E_1)
j_1 = Segment(C, Q)
k_1 = Segment(R_1, F_1)
l_1 = Segment(R_1, R)
m_1 = Segment(D, G_1)
ChampTexte1 = Textfield(f)