如何证明1+1/2+1/3+1/4+1/5+1/6+...+1/2014
问题描述:
如何证明1+1/2+1/3+1/4+1/5+1/6+...+1/2014
答
原式= 1 + (1/2+1/3) + (1/4+1/5+1/6+1/7) +(1/8+1/9+1/10+1/11+ ...+1/15) ...
如何证明1+1/2+1/3+1/4+1/5+1/6+...+1/2014
原式= 1 + (1/2+1/3) + (1/4+1/5+1/6+1/7) +(1/8+1/9+1/10+1/11+ ...+1/15) ...