求n趋于无穷时,1/n+.+1/(3n)的极限上面的1/n+1/(n+1)+1/(n+2)+.....+1/(3n)

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求n趋于无穷时,1/n+.+1/(3n)的极限上面的1/n+1/(n+1)+1/(n+2)+.....+1/(3n)

求n趋于无穷时,1/n+.+1/(3n)的极限上面的1/n+1/(n+1)+1/(n+2)+.....+1/(3n)
求n趋于无穷时,1/n+.+1/(3n)的极限
上面的1/n+1/(n+1)+1/(n+2)+.....+1/(3n)

求n趋于无穷时,1/n+.+1/(3n)的极限上面的1/n+1/(n+1)+1/(n+2)+.....+1/(3n)
由欧拉公式,∑1/n=ln(n)+γ+O(1/n) ,
可得 1/n+1/(n+1)+.+1/(3n)=ln(3n)-ln(n)+O(1/n)=ln(3)+O(1/n) ,
因此极限为 ln(3) .

....的内容是啥?1/(2n)?

=0