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知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。 两边求和，我们有 ln (n+1)<1/1+1/2+1/3+1/4+……+1/n 容易的， \lim _ {n\rightarrow +\infty }\ln \left ( n+1\right) =+\infty ，所以这个和是无界的，不收敛。 I've noticed this matrix product pop up repeatedly.

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The reason why $1^\infty$ is indeterminate, is because what it really means intuitively is an approximation of the type $ (\sim 1)^ {\rm large \, number}$ Unique factorization was a driving force beneath its changing of status, since it's formulation is. And while $1$ to a large power is 1,.

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 $1+1=2$ Intending on marking as accepted, because i'm no mathematician and this response makes sense to a commoner However, i'm still curious why there is 1 way to permute 0 things, instead of 0 ways. 实际上，天气预报中所说的雨量跟公众了解的积水深度并不能完全等同。 气象上一般把连续24小时，降水量50毫米以上的雨叫暴雨。 我们先以1毫米降水为例，看看小雨的威力。 首先，1.

There are infinitely many possible values for $1^i$, corresponding to different branches of the complex logarithm The confusing point here is that the formula $1^x = 1$ is not. It's a fundamental formula not only in arithmetic but also in the whole of math Is there a proof for it or is it just assumed?

49 actually 1 was considered a prime number until the beginning of 20th century