\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(P = X^n - 1\) for \(n \in \mathbb{N}^*\). Applying the \(P' / P\) formula, obtain the partial-fraction decomposition of \(\dfrac{n X^{n - 1}}{X^n - 1}\) over \(\mathbb{C}\).
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