Convergence of a series
Posted: Tue May 10, 2016 8:48 pm
Examine if the series
$$\sum_{n=1}^{\infty} \left [ \frac{1\cdot 3 \cdot 5\cdots \left ( 2n-1 \right )}{2 \cdot 4 \cdot 6 \cdots \left ( 2n \right )} \right ]^2 $$
converges.
$$\sum_{n=1}^{\infty} \left [ \frac{1\cdot 3 \cdot 5\cdots \left ( 2n-1 \right )}{2 \cdot 4 \cdot 6 \cdots \left ( 2n \right )} \right ]^2 $$
converges.