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How to convert the following program to vector operation (not using for loop)

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function y= natural_log(x,n)
if (abs(x)>=1)||(n<=0)
disp ('Error')
else if ((abs(x)<1)&&(n>0))
y=x;
q=1;
for a=2:n
q=q*(-1);
y=y+q*((1/a)*(x^a));
end
end
end

Answers (1)

Roger Stafford
Roger Stafford on 18 Nov 2014
elseif
y = sum(-(-x).^(1:n)./(1:n);
...
You should be aware that this series sum will approach log(1+x), not log(x). Also be aware that the original for-loop might be faster than the vectorized form for large n.

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