Test of Convergence or divergence?? ∑ ((n!)^2) / (2n!) from n=1 to n=infinity?

ok ive tried everything but i can't seem to make this work, i just dont understand the factorial nonsense,does this converge or diverge and please show me the worked example on how you solved it and what test you used. i was thinking along the lines of the ratio test, but i just didnt know how to evaluate [ (( (n+1)^2) !)/((n!)^2) * (2n!)/(2(n+1)!) ], wolfram alpha said it was convergent, but i just need to know how to evaluate those terms. thank you for your help :) may the god of math bless you haha