lim\lim\limits_{n \to{+}\infty}{\sqrt[n]{n!}} is infinite March 3, 2022 by admin How do I prove that \displaystyle\lim_{n \to{+}\infty}{\sqrt[n]{n!}} is infinite? Answer n! \geq (n/2)^{n/2} because half of the factors are at least n/2. Take n-th root. AttributionSource : Link , Question Author : Breton , Answer Author : sdcvvc
