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数学
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已知n∈N且n<1,用放缩法证明:1+1比根号2+1比根号3+.+1比根号n>根号n.
人气:259 ℃ 时间:2020-02-04 00:17:30
解答
证明:1/√n>1/(√n+√n-1)=√n-√n-1
则1+1/√2+1/√3.+1/√n
>1+√2-1+√3-√2+.+√n-√n-1
=√n
证毕;
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