请用放缩法证明:1+1/根号2+1/根号3+------+1/根号n<2根号n

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请用放缩法证明:1+1/根号2+1/根号3+------+1/根号n<2根号n
x){~)+M|gXlF= -e p{A6IET4MΆj7~[Cm#{:u2tEA""& L0$l~qAbN

请用放缩法证明:1+1/根号2+1/根号3+------+1/根号n<2根号n
请用放缩法证明:1+1/根号2+1/根号3+------+1/根号n<2根号n

请用放缩法证明:1+1/根号2+1/根号3+------+1/根号n<2根号n
证明:原式=1+2/(√2+√2)+2/(√3+√3)+2/(√4+√4)+...2/(√n+√n)