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Question Number 146174 by ArielVyny last updated on 11/Jul/21

calculer lim_(x→1) (x−1)Σ_(n≥0) (1/n^x )

$${calculer}\:{lim}_{{x}\rightarrow\mathrm{1}} \left({x}−\mathrm{1}\right)\underset{{n}\geqslant\mathrm{0}} {\sum}\frac{\mathrm{1}}{{n}^{{x}} } \\ $$

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