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根值判别法 ∑(cos1/n)^n^3
人气:179 ℃ 时间:2020-06-17 22:59:21
解答
lim[(cos1/n)^n^3]^(1/n)=lim(cos1/n)^(n^2)=lim(1+cos1/n-1)^(n^2)=lim[(1+cos1/n-1)^(1/(cos1/n-1))]^ [(n^2)((cos1/n-1)]lim[(1+cos1/n-1)^(1/(cos1/n-1))]=elim[(n^2)((cos1/n-1)]=limn^2(-1/(2n^2))=-1/2极限=e...
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