1+1/1*2+1/2*3+1/3*4+1/4*5+1………/99*100+1=?

问题描述:

1+1/1*2+1/2*3+1/3*4+1/4*5+1………/99*100+1=?

原式=1+(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/99-1/100)+1 =1+1-1/100+1 =2.99