What's reputation and how do i get it? Upvoting indicates when questions and answers are useful. I'm trying to find $$\\lim_{n\\to\\infty}\\frac{n}{\\sqrt[n]{n!}}.$$ i tried couple of methods:
This doesn't make sense to me, when i work through what each expression means. Has a higher order of growth than n^n. 请问如何严谨地计算极限 lim (n→∞) (ⁿ√n!/n)? 如何严谨地计算 [公式] ? 答案是取对数然后用反常积分,但是求和的极限是否一定等于反常积分的结果? 显示全部 关注者 21
请问一下e^ (n)*n!/n^ (n)这个极限为无穷大是怎么证明出来的? [图片] [图片] 上课的时候,老师讲stirling公式时提到过这俩极限,第一个是正无穷,第二个是0,而当分母是n^ (n+1/2)的时候极限存在,就… 显示全部 关注者 20 In our algorithms class, my professor insists that n! Instead, you can save this post to reference later. You'll need to complete a few actions and gain 15 reputation points before being able to upvote.