lim n^2(k/n-1/n+1-1/n+2-.-1/n+k)(其中K是与N无关的常数)谢谢个路大侠lim n^2{(k/n)-(1/n+1)-(1/n+2)-....-(1/n+k)}(其中K是与N无关的常数)lim下有N-正无穷
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![lim n^2(k/n-1/n+1-1/n+2-.-1/n+k)(其中K是与N无关的常数)谢谢个路大侠lim n^2{(k/n)-(1/n+1)-(1/n+2)-....-(1/n+k)}(其中K是与N无关的常数)lim下有N-正无穷](/uploads/image/z/6891202-10-2.jpg?t=lim+n%5E2%28k%2Fn-1%2Fn%2B1-1%2Fn%2B2-.-1%2Fn%2Bk%29%28%E5%85%B6%E4%B8%ADK%E6%98%AF%E4%B8%8EN%E6%97%A0%E5%85%B3%E7%9A%84%E5%B8%B8%E6%95%B0%29%E8%B0%A2%E8%B0%A2%E4%B8%AA%E8%B7%AF%E5%A4%A7%E4%BE%A0lim+n%5E2%7B%28k%2Fn%29-%281%2Fn%2B1%29-%281%2Fn%2B2%29-....-%281%2Fn%2Bk%29%7D%28%E5%85%B6%E4%B8%ADK%E6%98%AF%E4%B8%8EN%E6%97%A0%E5%85%B3%E7%9A%84%E5%B8%B8%E6%95%B0%29lim%E4%B8%8B%E6%9C%89N-%E6%AD%A3%E6%97%A0%E7%A9%B7)
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lim n^2(k/n-1/n+1-1/n+2-.-1/n+k)(其中K是与N无关的常数)谢谢个路大侠lim n^2{(k/n)-(1/n+1)-(1/n+2)-....-(1/n+k)}(其中K是与N无关的常数)lim下有N-正无穷
lim n^2(k/n-1/n+1-1/n+2-.-1/n+k)(其中K是与N无关的常数)
谢谢个路大侠
lim n^2{(k/n)-(1/n+1)-(1/n+2)-....-(1/n+k)}(其中K是与N无关的常数)
lim下有N-正无穷
lim n^2(k/n-1/n+1-1/n+2-.-1/n+k)(其中K是与N无关的常数)谢谢个路大侠lim n^2{(k/n)-(1/n+1)-(1/n+2)-....-(1/n+k)}(其中K是与N无关的常数)lim下有N-正无穷
k/n-1/n+1-1/n+2-.-1/n+k=(1/n-1/(n+1))+...+(1/n-1/(n+k))
而(1/n-1/(n+i))*n^2=i/(1+i/n).当n趋于无穷时极限为i
所以原式=1+2+.+k=k(k+1)/2
1
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