secant method exceeds the number of array

hi, i'm trying to solve this question but i don't know why i'm getting error every time i run it

here is the qustion part c

clear
clc 
fun=@(x) x^3-6*x^2+11*x-6.1;

x=3.5;

c_factor=0.001;

d=@(x) 3*x^2-12*x+11;

for i=1:100

    x(i+2)=x(i)-(fun(x(i))*((x(i+1)-x(i))/(fun(x(i+1))-fun(x(i)))));

    e(i)=abs((x(i+1)-x(i))/x(i));

    if e(i)<c_factor

        break

    end

end

Index exceeds the number of array elements. Index must not exceed 1.

fprintf('The root of given equation is: %.4f\n', x(i))

Answer 1

[Torsten]

x(i+2)=x(i)-(fun(x(i))*((x(i+1)-x(i))/(fun(x(i+1))-fun(x(i)))));

For i = 1, the evaluation of the right-hand side needs x(1) and x(2).

You didn't define them before the loop. Set

x(1) = 2.5;
x(2) = 3.5;

instead of

x=3.5;