Limit to 1 of Zeta of s minus Reciprocal of s-1

Theorem

 * $\displaystyle \lim_{s \mathop \to 1} \paren {\map \zeta s - \dfrac 1 {s - 1} } = \gamma$

where:
 * $\zeta$ denotes the Riemann $\zeta$ (zeta) function
 * $\gamma$ denotes the Euler-Mascheroni constant.