lim[(1/n^2+1)+(2/n^2+1)+(3/n^2+1)+.+(2n/n^2+1)]提出1/n^2+1后1+2+3……+2n怎么写Sn?

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lim[(1/n^2+1)+(2/n^2+1)+(3/n^2+1)+.+(2n/n^2+1)]提出1/n^2+1后1+2+3……+2n怎么写Sn?

lim[(1/n^2+1)+(2/n^2+1)+(3/n^2+1)+.+(2n/n^2+1)]提出1/n^2+1后1+2+3……+2n怎么写Sn?
lim[(1/n^2+1)+(2/n^2+1)+(3/n^2+1)+.+(2n/n^2+1)]
提出1/n^2+1后
1+2+3……+2n
怎么写Sn?

lim[(1/n^2+1)+(2/n^2+1)+(3/n^2+1)+.+(2n/n^2+1)]提出1/n^2+1后1+2+3……+2n怎么写Sn?
1+2+3……+2n
=(1+2n)*2n/2
=n*(1+2n)
lim[(1/n^2+1)+(2/n^2+1)+(3/n^2+1)+.+(2n/n^2+1)]lim[(1/n^2+1)+(2/n^2+1)+(3/n^2+1)+.+(2n/n^2+1)]
=limit[(2n^2+n)/(n^2+1)]
=2

Sn=1+2+3……+2n=2n(1+2n)/2=n(1+2n) (公式）
Sn=1+2+3……+2n
Sn=2n+....+2+1两式相加
2Sn=2n(1+2n).....

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