Question

Write a function in Matlab that will compute the approximation for ln(x) given the inputs to the function are x and n. This function requires a running sum using a for-loop. ln (?) = lim?→∞∑ (−1)^(?−1)*(? − 1)^?/k

Answer 1

Hi,

Please find the Matlab script below:

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Matlab Function:

function [output] = lnOfX(x,n)
%function in Matlab that will compute the approximation for ln(x)
%given the
%Inputs to the function are : x and n
%For loop
sum=0;
for k=1:n
    %Accumulate
    sum = sum + (((-1)^(k-1))*(((x-1)^k)/k));
    % fprintf('Sum = %6.2f \n',sum);
end
output=sum;
end

Driver Script:

%Sample Driver Script
result = lnOfX(1/2,10);
fprintf('Approximation for ln(x) = %6.2f \n',result);

Screenshot:

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Like the solution if you find it useful.

Hope this helps.