When determining the Fourier Series representation of an impulse train,
$x(t) = \sum_{k = -\infty}^{\infty}\delta(t - kT)$
I have noticed that most proofs determine the coefficients using the bounds of $[-T/2, T/2]$ instead of $[0, T]$:
$a_k = \frac{1}{T}\int_{-T/2}^{T/2}\delta(t)e^{-jk2\pi t/T}dt$
Why? Is there an issue with having the impulses located directly on the endpoints of the integral bounds?