Wikipedia:Reference desk/Archives/Mathematics/2014 January 12

= January 12 =

Proof of Integral Expression for Euler's Gamma Constant
How would we prove this integral identity for  Euler's &gamma; constant: $$\lim_{n\to\infty}\int_\frac1n^n\dfrac{\frac12-\cos x}x\ dx=\gamma$$ — 79.118.168.91 (talk) 09:16, 12 January 2014 (UTC)