Excel in math, science, and engineering

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Let \(s=\sigma+it\in C\) and \(\sigma>1\). Define \(\zeta(s)=\sum_{n=1}^\infty\frac{1}{n^{s}}\).

Evaluate \(\lim_{s \rightarrow 1}(1-s) \frac{\zeta'(s)}{\zeta(s)}\).

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