Sum of a Series, Help!
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Hi i have had a look around for some help on multiple variables using sum and sigma.
Couldnt quite understand how to apply those examples to my problem.
And I have got to write out this function and be able to plot it on a graph.
Being that n is 1,2 or 3 (on the same graph)
Pn(x) = ![](data:image/png;base64,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)
5 comentarios
Respuestas (2)
David Hill
el 9 de Jul. de 2020
Not sure exactly what you are asking.
x=0:.1:10;
for n=1:3
S(n,:)=arrayfun(@(i)sum(repmat(-1,1,n+1).^(0:n)./(2*(0:n)+1).*repmat(i,1,n+1).^(2*(0:n)+1)),x);
end
subplot(3,1,1);
plot(x,S(1,:));
subplot(3,1,2);
plot(x,S(2,:));
subplot(3,1,3);
plot(x,S(3,:));
3 comentarios
Boxn Hen
el 9 de Jul. de 2020
Hope to help you as follow.Ps:I just use 'for' to sum all seperate results.
function result=SumAndSigma(x,n)
r(1)=0;
for i=0:n
r(i+2)=r(i+1)+((-1)^i/(2*i+1)).*x.^(2*i+1)% There are n+1 elements and the first one is 0.
end
result=r(2:end);
end
And input x and n to the function SumAndSIgma.
%for example:x=3;n=5
x=3;n=5;
result=SumAndSigma(x,n)
data=0:n;
plot(data,result);
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/329588/image.jpeg)
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