数列极限 lim[kn^2/n-n^2/(n+1)-n^2/(n+2)-...-n^2/(n+k)]
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数列极限lim[kn^2/n-n^2/(n+1)-n^2/(n+2)-...-n^2/(n+k)]数列极限lim[kn^2/n-n^2/(n+1)-n^2/(n+2)-...-n^2/(n+k)]数列
数列极限 lim[kn^2/n-n^2/(n+1)-n^2/(n+2)-...-n^2/(n+k)]
数列极限 lim[kn^2/n-n^2/(n+1)-n^2/(n+2)-...-n^2/(n+k)]
数列极限 lim[kn^2/n-n^2/(n+1)-n^2/(n+2)-...-n^2/(n+k)]
详细解答请见图片,点击放大,再点击再放大:
kn^2/n-n^2/(n+1)-n^2/(n+2)-...-n^2/(n+k)=n[1/(n+1)+...+k/(n+k)]
k是有限项
那么就是1+2+3+...+k=k(k+1)/2
数列极限 lim[kn^2/n-n^2/(n+1)-n^2/(n+2)-...-n^2/(n+k)]
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