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## Main Question or Discussion Point

I have been working with the following series $\sum_{n=0}^\infty \frac{x^n}{a+x^n}$, where $0<x < 1$. I had a feeling it might be related to q-harmonic series, but I really have no idea:-)

I am looking for either a good analytic approximation, or even some idea of the sensitivity of this sum to the parameters x and a. But I would grateful if anyone could point me in the right direction.

I am looking for either a good analytic approximation, or even some idea of the sensitivity of this sum to the parameters x and a. But I would grateful if anyone could point me in the right direction.