Help creating an array to hold approx error from a taylor series

Question

John Furman 2020-2-7

0
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https://ww2.mathworks.cn/matlabcentral/answers/504253-help-creating-an-array-to-hold-approx-error-from-a-taylor-series

编辑： James Tursa 2020-2-7

I have a taylor series function for sin(x) and want to hold each value for approx error at each index value. Can anyone explain how I would go about doing this? Here is my while loop:

while index<100 && a_err>1
% while loop specifies that if the power of the taylor series is below 100 and the approximite
% error is greater than 1% the the program will loop through and create the
% next iteration of the taylor series
    t = taylor(f,'Order',index, 'ExpansionPoint', xi)
    % The taylor function is used to create the taylor series of increasing
    % order
    t_array(index) = vpa(subs(t,x,xi+h))
    % An array is created to hold the values of each iteration of taylor
    % series
    if index>1
    % The if statement keeps the program from stoping early since
    % the aproximate error on the first iteration is not valid
        a_err = abs((t_array(index)-vpa(subs(f,x,xi)))/vpa(subs(f,x,xi)))*100
        % Calculates the approx. error
    end
    index = index+1
    % Increase the index
    
end