已知n是正整数证明不等式1+1/√2+1/√3+……+1/√n

问题描述:

已知n是正整数证明不等式1+1/√2+1/√3+……+1/√n

1+1/√2+1/√3+……+1/√n
=2/2+2/2√2+2/2√3+……+2/2√n
=2(/2+1/2√2+1/2√3+……+1/2√n)