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.
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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.](/uploads/image/z/1049563-19-3.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%5E0.5-1%29%2C%E6%B1%82n%E8%B6%8B%E4%BA%8E%E6%97%A0%E7%A9%B7%E5%A4%A7%E6%97%B6%2CSn%E7%9A%84%E6%9E%81%E9%99%90.)
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)^0.5-1),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)^0.5-1),求n趋于无穷大时,Sn的极限.
极限=1/4,详见: