Skip to main content
Post Closed as "Not suitable for this site" by R. van Dobben de Bruyn, Arturo Magidin, Alexey Ustinov, Friedrich Knop, Stefan Waldmann
edited tags
Link
GH from MO
  • 105.4k
  • 8
  • 293
  • 398
Source Link
user130611
user130611

What is the limit of this integral as $n$ approaches infinity for integer $k\geq 0$ and real $m\geq 1$?

$\int_{0}^{1}u^k\cot{\frac{\pi(1-u)}{m}}\sin{\frac{2\pi n(1-u)}{m}}\,du$