1/2+(1/3+2/3)+(1/4+2/4+3/4)+···+(1/10+2/10+···9/10) 그리고 이(1+1/2)*(1+1/4)*(1+1/6)*··*(1+1/10)*(1-1/3)*(1-1/5)*··*(1-1/9)

1/2+(1/3+2/3)+(1/4+2/4+3/4)+···+(1/10+2/10+···9/10) 그리고 이(1+1/2)*(1+1/4)*(1+1/6)*··*(1+1/10)*(1-1/3)*(1-1/5)*··*(1-1/9)

각 항목 계산:1/k+2/k+..+(k-1)/k=1/k*[1+2+..+(k-1)]=1/k*k(k-1)/2=(k-1)/2 그래서 1/2+(1/3+2/3)+(1/4+2/4+3/4)+·+(1/10+2/10+···9/10)=1/2+2/2+3/2+...+9/2=1+2+2+...+9)=1/2*9*10/2=45/2(1+1/2)*