求极限Sn=((1+1/n^2)^0.5-1)+((1+2/n^2)^0.5-1)+...+((1+n/n^2)^0.5
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求极限Sn=((1+1/n^2)^0.5-1)+((1+2/n^2)^0.5-1)+...+((1+n/n^2)^0.5-1),求n趋于无穷大时,Sn的极限.
![求极限Sn=((1+1/n^2)^0.5-1)+((1+2/n^2)^0.5-1)+...+((1+n/n^2)^0.5](/uploads/image/z/2796489-9-9.jpg?t=%E6%B1%82%E6%9E%81%E9%99%90Sn%3D%EF%BC%88%281%2B1%2Fn%5E2%29%5E0.5-1%29%2B%EF%BC%88%281%2B2%2Fn%5E2%29%5E0.5-1%29%2B...%2B%EF%BC%88%281%2Bn%2Fn%5E2%29%5E0.5)
极限=1/4,详见:
在数列{an}中,an=1/n(n+1)(n+2),求Sn的极限
求极限Sn=((1+1/n^2)^0.5-1)+((1+2/n^2)^0.5-1)+...+((1+n/n^2)^0.5
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