$ x_n $

$ x_{n+1} $

$ f $

f(x) = x + 0.3 * x * (x - 1) * (x - 3)
A = Intersect(f, a, 3)
B = Intersect(f, a, 2)
C = Intersect(f, a, 1)
x01 = 2.94
n = 6
list1_1 = IterationList(f, x01, n)
list2 = Sequence((Element[list1_1, i], Element[list1_1, i + 1]), i, 1, n)
list3 = Sequence((Element[list1_1, i], Element[list1_1, i]), i, 2, n)
D = Point(list2)
E = Point(list3)
u = Vector(D, E)
F = Point(list2)
v = Vector(E, F)
G = Point(list3)
w = Vector(F, G)
H = Point(list2)
z = Vector(G, H)
I = Point(list3)
b = Vector(H, I)
J = Point(list2)
c = Vector(I, J)
K = Point(list3)
d = Vector(J, K)
L = Point(list2)
e = Vector(K, L)
x02 = 3.05
list1_2 = IterationList(f, x02, n)
list4 = Sequence((Element[list1_2, i], Element[list1_2, i + 1]), i, 1, n)
list5 = Sequence((Element[list1_2, i], Element[list1_2, i]), i, 2, n)
M = Point(list4)
N = Point(list5)
g = Vector(M, N)
O = Point(list4)
h = Vector(N, O)
P = Point(list5)
i = Vector(O, P)
Q = Point(list4)
j = Vector(P, Q)
x03 = 0.1
list1_3 = IterationList(f, x03, n)
list6 = Sequence((Element[list1_3, i], Element[list1_3, i + 1]), i, 1, n)
list7 = Sequence((Element[list1_3, i], Element[list1_3, i]), i, 2, n)
R = Point(e)
S = Point(list3)
k = Vector(R, S)
T = Point(list2)
l = Vector(S, T)
U = Point(list7)
V = Point(list6)
m = Vector(U, V)
W = Point(list6)
p = Vector(W, U)
Z = Point(list7)
q = Vector(Z, W)
A_1 = Point(list6)
r = Vector(A_1, Z)
B_1 = Point(list7)
s = Vector(B_1, A_1)
C_1 = Point(list6)
t = Vector(C_1, B_1)
D_1 = Point(list7)
u_1 = Vector(D_1, C_1)
E_1 = Point(list6)
v_1 = Vector(E_1, D_1)
F_1 = Point(list7)
w_1 = Vector(F_1, E_1)
G_1 = Point(list6)
z_1 = Vector(G_1, F_1)
x0 = -0.1
list1 = IterationList(f, x0, n)
list8 = Sequence((Element[list1, i], Element[list1, i + 1]), i, 1, n)
list9 = Sequence((Element[list1, i], Element[list1, i]), i, 2, n)
H_1 = Point(list8)
I_1 = Point(list9)
a_1 = Vector(H_1, I_1)
J_1 = Point(list8)
b_1 = Vector(I_1, J_1)
K_1 = Point(list9)
c_1 = Vector(J_1, K_1)
L_1 = Point(list8)
d_1 = Vector(K_1, L_1)
M_1 = Point(list9)
e_1 = Vector(L_1, M_1)
N_1 = Point(list8)
f_1 = Vector(M_1, N_1)