I can't get this IF statement to work

Hi, I have been trying to programme newtons law of itterations, which is an itterative method which converges to the unknown point we are trying to figure out. I have got my code to do the hard part. I would however like my code to break as soon as the same figure begins to repeat itself. Please see below:

If I hadnt included the 1:100 statement the code would run on forever. Please help!!

f = @(x) exp(x)-1.5+atan(x);
g = @(x) exp(x)+1/((x^2)+1);
x0 = 50
for i = 1:100
    x1 = x0 - (f(x0)/g(x0)) %Newtons Formula
    if x0 == x1
    else
        x0=x1
    end
end

[Rik]

Why did you remove your question? That is extremely rude. Now nobody can benefit from your question if they have a similar issue.

[Rena Berman]

(Answers Dev) Restored edit

Answer 1

[David Hill]

f = @(x) exp(x)-1.5+atan(x);
g = @(x) exp(x)+1/((x^2)+1);
x0 = 50;
tol=1e-6;
for i = 1:100
    x1 = x0 - (f(x0)/g(x0)); %Newtons Formula
    if abs(x0-x1)<tol
        break;
    else
        x0=x1;
    end
end

You could also do a while loop:

[Sarfraz Khan]

Thanks so much for your previous answer.

How would I use a while loop here? I have attempted but getting similar issues :(

[David Hill]

root=x-f(x)/fp(x);
while abs(root-x)>tol
     x=root;
     root=x-f(x)/fp(x);
end