Solved Problems for Series: Series of Functions

Here we will show solved problems on various topics connected to series of functions. We start with convergence of sequences and series of functions, then we look at convergence of power series (radius of convergence etc.), do some Taylor series expansions and the opposite (summing up power series), and eventually we do some problems on Fourier series.
If you wish to simultaneously follow another text on series of functions in a separate window, click here for Theory and here for Methods Survey.