Create a function to calculate error, approximation, exact, etc.

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How do you create a function to calculate:

I have attempted to do so but keep getting errors:

exact=exp_or_sin(x+dx);
  abs_error=0;
  n=1;
  count=0;
  terms=1;
    while abs_error<=tol && n>1 && terms>max_terms
        count=count+1;
        terms(count)=(1)^(count+1)*(dx^n).*diff(exp_or_sin,x,n)/factorial(n);
        approx(count)=exp_or_sin+sum(terms);
        n=n+1;
        abs_error=abs((exact-approx)/exact);
    end
    disp(exact)
    disp(approx)
    disp(abs_error)
    X=terms
    X(:)=1;
    terms=sum(X)