Impulse Train Fourier Series Limits

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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?