Question

determine whether the series riemann sum from k=1 to infinityy of (k!)^2/k^(2k+1) converges

Answer 1

it converges to about 1.144

Answer 2

how do you figure it out though?

Answer 3

i probably cant help you there, at least proving it mathematically
i used more of an analytical approach
i just plugged in the numbers on excel and got to the 80th term before the factorial blows up to infinity
sorry

Answer 4

that's ok, thank you

Answer 5

factorials usually a hint for ratio test