ab分之1+(a+1)(b+1)分之1+(a+2)(b+2)分之1+……+(a+2009)(b+2009)分之1的值

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ab分之1+(a+1)(b+1)分之1+(a+2)(b+2)分之1+……+(a+2009)(b+2009)分之1的值ab分之1+(a+1)(b+1)分之1+(a+2)(b+2)分之1+……+(a+20

ab分之1+(a+1)(b+1)分之1+(a+2)(b+2)分之1+……+(a+2009)(b+2009)分之1的值
ab分之1+(a+1)(b+1)分之1+(a+2)(b+2)分之1+……+(a+2009)(b+2009)分之1的值

ab分之1+(a+1)(b+1)分之1+(a+2)(b+2)分之1+……+(a+2009)(b+2009)分之1的值
2010/2011

[1/(b-a)]*[1/a-1/b+1/(a+1)-1/(b+1)......+1/(a+2009)-1/(b+2009)]
=[1/(b-a)]*{[1/a+1/(a+1)+...+1/(a+2009)]-[1/b+1/(b+1)+...+1/(b+2009)]}
=[1/(b-a)]*{[1/a+1/(a+1)+...+1/(a+2009)]-[1/b+1/(b+1)+...+1/(b+2009)]}