请问这道题怎样解算:(1+1/2+1/+L+1/2007)*(1/2+1/3+L+1/2008)-(1+1/2+L+1/2008)*(1/2+1/3+L+1/2007)=

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请问这道题怎样解算:(1+1/2+1/+L+1/2007)*(1/2+1/3+L+1/2008)-(1+1/2+L+1/2008)*(1/2+1/3+L+1/2007)=

请问这道题怎样解算:(1+1/2+1/+L+1/2007)*(1/2+1/3+L+1/2008)-(1+1/2+L+1/2008)*(1/2+1/3+L+1/2007)=
请问这道题怎样解算:(1+1/2+1/+L+1/2007)*(1/2+1/3+L+1/2008)-(1+1/2+L+1/2008)*(1/2+1/3+L+1/2007)=

请问这道题怎样解算:(1+1/2+1/+L+1/2007)*(1/2+1/3+L+1/2008)-(1+1/2+L+1/2008)*(1/2+1/3+L+1/2007)=
设1+1/2+1/3+.+1/2008=a
(a-1/2008)(a-1)-a(a-1-1/2008)=1/2008