If \( \alpha=e^{i\left(\frac{\pi}{3}\right)} \), then find \( \sum_{r=0}^{5} \frac{1}{2-\alpha^{...
If \( \alpha=e^{i\left(\frac{\pi}{3}\right)} \), then find \( \sum_{r=0}^{5} \frac{1}{2-\alpha^{r}}= \)
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