Plotting Infinite series in matlab

e(t)=x(t)-xn(t), how can i plot e(t)??

[Rupesh Yadav]

@David Hill how to plot x(t)

[Walter Roberson]

If you were to plot x(t) would you want it for a single fixed n value, or for a vector of n values like David Hill shows?

If you want a vector of n values then x(t) would have one component for each value in n so you would need a 2D plot.

[Rupesh Yadav]

@Walter Robertson Ya I was asking for the same. Actually we i want to add fourier sine series summation till inf then how to add them and finally plot the same?

[Walter Roberson]

What is the "same" that you are asking for? Which variables do you want to be fixed in the plot and which do you want want to change? If you have more than one changing variable then which do you want for x, which for y, which for z?

[Walter Roberson]

Adding an infinite number of terms takes an infinite time, and there is never a "finally" for an infinite time.

Answer 1

[David Hill]

You can plot for various values of t between 0 and 1.

t=.3%not sure what you want to plot against, I held t constant and plotted N vs. error
n=1:2:100000;%have to pick something for infinity (100,000 should be good for about 5 decimal places)
N=1:2:500;%whatever you want N to go up to
x=(4/pi)*sum((1./n).*sin(n*pi*t));
e=arrayfun(@(y)x-(4/pi)*sum((1./(1:2:y)).*sin((1:2:y)*pi*t)),N);
plot(N,e);