Question

证明1+(1/2)^+(1/3)^……+(1/n)^＜2求大神帮助

Answer 1

∵1/(n^2-n)>1/n^2 1/(n^2-n)=1/(n-1)-1/n ∴1+(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+[1/(n-1)-1/n] =2-1/n