求极限lim(x→∞)(1/n+2/n+3/n..+n/n)

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求极限lim(x→∞)(1/n+2/n+3/n..+n/n)求极限lim(x→∞)(1/n+2/n+3/n..+n/n)求极限lim(x→∞)(1/n+2/n+3/n..+n/n)lim(x→∞)(1

求极限lim(x→∞)(1/n+2/n+3/n..+n/n)
求极限lim(x→∞)(1/n+2/n+3/n..+n/n)

求极限lim(x→∞)(1/n+2/n+3/n..+n/n)

lim(x→∞)(1/n+2/n+3/n..+n/n)
=lim(x→∞)[(1+2+3+.....+n)/n]=lim(x→∞)(n+1)n/2n=lim(x→∞)(n+1)/2=∞

原式=lim[n(n+1)]/2n=lim(n+1)/2
所以极限不存在!
望采纳!

答案是1/2