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For educational purposes, I was experimenting with the Fourier series expansion of periodic functions. Following the definition for 2pi-periodic functions on Wikipedia, given by

and

To my mind I did all the necessary assumptions, to avoid that the summand will become singular when calculating the expected value.

What did I do wrong?

Here´s the code:

with(Statistics):
interface(showassumed=0):
assume(t::posint):
assume(x::posint):
assume(0 < q, q < 1):
X1 := RandomVariable(Geometric(q)):
DARA := t->log(t):
ExpectedValue(DARA(X1));