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A theorem states the following: (a) If {s_n} is nondecreasing, then lim[n-->infinity]s_n=sup{s_n}.(b) If {s_n} is nonincreasing, then lim[n-->infinity]s_n=inf{s_n}.I am not sure how to prove that {s_n} converges if s_n = (2n) ! / {[2^(2n)]*(n !)^2}. Can someone please show me a proof for this problem?
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