### creating a fourier series animation

Hello,
I want to create an animation of sum((-1)^(n-1)*sin(n*x)/n,n,1 , k)

and show that as the number of terms 'k' in the partial sums increase, the sum converges to x/2 i.e looks more and more like the graph of x/2.

My first try is

**a = animate([(sum((-1)^(n-1)***sin(n*x)/n,n,1 , k))] for k in range (1,50,1))

But that returns me an error

*Traceback (click to the left of this block for traceback)
...
AttributeError: 'int' object has no attribute '_maxima_'*

Also I want to include a static graph of x/2 in the background of the animation so that it is easy to observe that the series converges to x/2. how to do this?