Hn = S2 n+1 n! H n = S n + 1 2 n! Where S S denotes Stirling numbers of the first kind. But it may not be considered a "closed form", since Stirling numbers are not much more easy than …

Jan 15, 2013 · Possible Duplicate: How do I convince someone that $1+1=2$ may not necessarily be true? I once read that some mathematicians provided a very length proof of $1+1=2$. Can …

5 One can write 1 + 1 2 + 1 3 + ⋯ + 1 n = γ + ψ(n + 1) 1 + 1 2 + 1 3 + + 1 n = γ + ψ (n + 1) where γ γ is Euler's constant and ψ ψ is the digamma function. Of course, one reason for creating the …

Nov 28, 2019 · Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and …

Jun 26, 2020 · 对于 (1+1/n)^n ＜ 3的证明如下图 (图片来自 崔尚斌数学分析教程)

Well, there is exactly one way of doing that: just sit and do nothing! So we make 00 equal to 1, because that is the correct number of ways in which we can do the thing that 00 represents. …

I'm trying to prove a pretty simple problem - commutativity of multiplication of matrix and its inverse. But I'm not sure, if my proof is correct, because I'm not very experienced. Could you, …

The reason why 1∞ 1 ∞ is indeterminate, is because what it really means intuitively is an approximation of the type (∼ 1)largenumber (∼ 1) l a r g e n u m b e r. And while 1 1 to a large …

Apr 28, 2019 · 1 I am perturbed by your question. Typically, one learns the general concept of "infinite sequence", then "convergent sequence", and then the special cases of "arithmetic …

Sep 30, 2014 · Further explanations: We have a sequence {an} {a n} such that a0 = 1 a 0 = 1, a1 =a2 = 2 a 1 = a 2 = 2, a3 =a4 =a5 = 3 a 3 = a 4 = a 5 = 3, etc, and we want to have a general …