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Question Number 73035 by mathmax by abdo last updated on 05/Nov/19

prove that  ∀n∈N^★      2!4!....(2n)!≥{(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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