2012-7 Product of Sine

Let X be the set of all postive real numbers c such that  \[\frac{\prod_{k=1}^{n-1} \sin\left( \frac{k \pi}{2n}\right)}{c^n} \]  converges as n goes to infinity. Find the infimum of X.

GD Star Rating
loading...
2012-7 Product of Sine, 4.5 out of 5 based on 16 ratings