n^2{(k/n)-(1/n+1)-(1/n+2)-.-(1/n+k)}
=nn{(1/n-1/n+1)+(1/n-1/n+2)+……+(1/n-1/n+k)}
=nn{1/n(n+1)+2/n(n+2)+……+k/n(n+k)}
=n{1/(n+1)+2/(n+2)+……+k/(n+k)}
lim(n{1/(n+1)+2/(n+2)+……+k/(n+k)})
=
lim(n{1/(n+k)+2/(n+k)+……+k/(n+k)})
=k(k+1)/2*lim(n/(n+k))
=k(k+1)/2
=>
lim n^2{(k/n)-(1/n+1)-(1/n+2)-.-(1/n+k)}
=k(k+1)/2
lim n^2{(k/n)-(1/n+1)-(1/n+2)-.-(1/n+k)}(其中K是與N無(wú)關(guān)的常數(shù))
lim n^2{(k/n)-(1/n+1)-(1/n+2)-.-(1/n+k)}(其中K是與N無(wú)關(guān)的常數(shù))
數(shù)學(xué)人氣：762 ℃時(shí)間：2020-08-18 11:50:09
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