要求这n项和的话,只能求近似值
下面给一些参考公式,希望对你有所帮助
√1+√2+……+√n≈(3/2)*n^(3/2)+(1/2)*n^(1/2)
√1+√2+……+√n≈(3/2)*n^(3/2)+(1/2)*n^(1/2)-(1/6)
√1+√2+……+√n≈(3/2)*n^(3/2)+(1/2)*n^(1/2)+(1/24)*n^(-1/2)
√1+√2+……+√n≈(3/2)*n^(3/2)+(1/2)*n^(1/2)+(1/24)*n^(-1/2)-(5/24)
√1+√2+……+√n≈
(3/2)*n^(3/2)+(1/2)*n^(1/2)+(1/24)*n^(-1/2)-(1/1920)*n^(-5/2)-(399/1920)
√1+√2+……+√n≈
(3/2)*n^(3/2)+(1/2)*n^(1/2)+(1/24)*n^(-1/2)-(1/1920)*n^(-5/2)+(1/9216)*n^(-9/2)
-(9581/46080)
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