Putnam 1965 B1
Source:
June 5, 2008
Putnamlimitintegrationtrigonometrycalculuscollege contests
Problem Statement
Evaluate \lim_{n\to\infty} \int_0^1 \int_0^1 \cdots \int_0^1 \cos ^ 2 \left\{\frac{\pi}{2n}(x_1\plus{}x_2\plus{}\cdots \plus{}x_n)\right\} dx_1dx_2\cdots dx_n.