Recent content by schoolslave

Alright, so I, hopefully correctly :smile:, applied Raabe's test and got -\frac{1}{2}, therefore the series is divergent, correct? I also put the sum into WolframAlpha using the Stirling approximation and it just states that the series does not converge.

So I would substitute the stirling approximation for every n!, correct?

What exactly is Stirling's approximation?

Homework Statement Determine divergence/convergence of this series: \sum\frac{(2n)!}{(n!)^{2}} * (\frac{1}{4})^{n} Homework Equations ratio test? The Attempt at a Solution I attempted to use the ratio test and the resulting limit was 1, which means the ratio test is inconclusive. So far, I...