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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。 Intending on marking as accepted, because i'm no mathematician and this response makes sense to a commoner

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However, i'm still curious why there is 1 way to permute 0 things, instead of 0 ways. The confusing point here is that the formula $1^x = 1$ is not part of the definition of complex exponentiation, although it is an immediate consequence of the definition of natural number exponentiation. I've noticed this matrix product pop up repeatedly and can't seem to de.

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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? 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 you think of some way to

49 actually 1 was considered a prime number until the beginning of 20th century Unique factorization was a driving force beneath its changing of status, since it's formulation is quickier if 1 is not considered a prime But i think that group theory was the other force. 11 there are multiple ways of writing out a given complex number, or a number in general

The complex numbers are a field

2、最高性能 电脑性能冗余越大，1%就越接近平均帧。 通常来说，体验派的3A大作比如赛博朋克2077、荒野大镖客2，1%LOW在50以上时，就能带来不错的游戏体验。 而偏向PVP或者竞技类的游戏，需要高操作和专注力的，比如CSGO、LOL、赛车类的例如地平线、尘埃、F1。 There are infinitely many possible values for $1^i$, corresponding to different branches of the complex logarithm