a,b满足根号a-1+根号b-2=0 求1/ab+1/(a+b)(b+1)+1/(a+2)(b+2)+.....+1/(a+2008)(b+2008)的值 快啊 要用的
a,b满足根号a-1+根号b-2=0求1/ab+1/(a+b)(b+1)+1/(a+2)(b+2)+.....+1/(a+2008)(b+2008)的值...
a,b满足根号a-1+根号b-2=0 求1/ab+1/(a+b)(b+1)+1/(a+2)(b+2)+.....+1/(a+2008)(b+2008)的值
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√a-1+√b-2=0
a=1，b=2
1/ab+1/(a+b)(b+1)+1/(a+2)(b+2)+.....+1/(a+2008)(b+2008)
=1/2+1/2*3+1/3*4+1/4*5+...+1/2009*2010
=1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
=1-1/2010
=2009/2010
a=1，b=2
1/ab+1/(a+b)(b+1)+1/(a+2)(b+2)+.....+1/(a+2008)(b+2008)
=1/2+1/2*3+1/3*4+1/4*5+...+1/2009*2010
=1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
=1-1/2010
=2009/2010
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