/a-1/+/ab-2/=0求1/а×b+1/﹙a+1﹚﹙b+1﹚+…+1/(a+2010)(b+2010)的值
问题描述:
/a-1/+/ab-2/=0求1/а×b+1/﹙a+1﹚﹙b+1﹚+…+1/(a+2010)(b+2010)的值
答
/a-1/+/ab-2/=0a-1=0 a=1ab-2=0 b=21/а×b+1/﹙a+1﹚﹙b+1﹚+…+1/(a+2010)(b+2010)=1/2+1/3*4+1/4*5+……+1/2011*1/2012=1/2+1/3-1/4+1/4-1/5+……+1/2011-1/2012=1/2+1/3-1/2012=1/6-1/2012=1003/6036...