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prove-that-n-N-2-4-2n-n-1-n-




Question Number 73035 by mathmax by abdo last updated on 05/Nov/19
prove that  āˆ€nāˆˆN^ā˜…      2!4!....(2n)!ā‰„{(n+1)!}^n
$${prove}\:{that}\:\:\forall{n}\in{N}^{\bigstar} \:\:\:\:\:\mathrm{2}!\mathrm{4}!….\left(\mathrm{2}{n}\right)!\geqslant\left\{\left({n}+\mathrm{1}\right)!\right\}^{{n}} \\ $$

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