这个列项解答1/1x2 = 1-1/21/2X3 = 1/2-1/31/3x4 = 1/3-1/4. .1/99x100=1/99-1/100在等式左边加起来就是1/1*2+1/2*3+1/3*4+1*4*5+1/5*6+1/6*7+……1/98*99+1/99*100 就应该等于右边1-1/2+1/2-1/3+1/3-1/4+.1/98-1/...