Question: Fourier series=f(x,t,n)

If I have a fourier series as a function of x and t and summation goes from n=1 to eternity how can I get a new function, say F, with unapply so that F=F(x,t,n)?

So instead of plotting F from n=1 to eternity I want to plot e.g from n=1 to n=10

 

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