数列{sinn^k}发散的证明

Proof of Sequence{sinn^k}Divergence

研究了当k是正整数时,数列{sinnk}的敛散性,文献[1]给出了{sinn}和{sinn2}发散的证明,但是证明方法复杂,不便阅读.为此,本文进行了两个方面的研究:一方面是运用简单的方法证明了{sinn}和{sinn2}的发散;另一方面证明了一个重要结论,即{sinnk}发散.

When k is a positive integer, the sequence {sinnk} of convergence and divergence of the literature [1] only gives { sinn} and { sinn2} diverge proof, but proof complexity, inconvenience read. In this paper, we studied two aspects： on the one hand is the use of a simple method proof { sinn} and { sinn2 } divergence; On the other hand proved an important conclusion that { sinnk} diverge.