+333 It is given that, for non-negative integers n,
\(l_n=\int_{0}^{1/2\pi} sin^nx dx\)
Show that \(l_n=\frac{n-1}{n}l_{n-2}\) for any \(n\geq 2\)
Explain why \(l_{2n+1} < l_{2n-1}\)
It is given that \(l_{2n+1}< l_{2n}<l_{2n-1}\) Take \(n=5\) to find an intervel within which value of \(\pi\) lies.
