Taylor Series Summation Too Large

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Madi Macias
Madi Macias 2016-8-6
评论： Madi Macias 2016-8-6
My goal is to run through the first 100 terms of the generalized taylor series for sin(x) for a user defined x value. However the code i currently have is giving an output of a huge number that is not the correct summation. Here is what i have:
x=sym('x')
x=input('Enter a scalar value for x: ')
n=0:99;
k=0;
for i=1:length(n)
y(i)=((-1).^n(i))*((x.^(2*n(i))+1)/factorial((2*n(i))+1));
k=k+n(i);
end
fprintf('Summation of first 100 Terms: %d\n',k)
I'm not really sure what is causing this to happen. Thank you to anyone that can help!

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采纳的回答

Mischa Kim
Mischa Kim 2016-8-6
You need add up the y(i). In other words, use
k = k + y(i);

更多回答（1 个）

Walter Roberson
Walter Roberson 2016-8-6
Why are you bothering to calculate y(i) if you are going to ignore its value and base your output k strictly on the sum of the vector n?
  1 个评论
Madi Macias
Madi Macias 2016-8-6
Oh goodness i didn't even realize that's what i was doing. How should i fix this?

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