原式=1+(2+1/6)+(3+1/12)+...+(9+1/90)
=(1+2+...+9)+(1/6+1/12+...+1/90)
=(1+9)*9/2+[(1/2-1/3)+(1/3-1/4)+...+(1/9-1/10)]
=45+[1/2-1/10]
=45+2/5
=45又2/5
原式=1+(2+1/6)+(3+1/12)+...+(9+1/90)
=(1+2+...+9)+(1/6+1/12+...+1/90)
=(1+9)*9/2+[(1/2-1/3)+(1/3-1/4)+...+(1/9-1/10)]
=45+[1/2-1/10]
=45+2/5
=45又2/5