Ta có:\(\left(1-\dfrac{1}{2010}\right)\left(1-\dfrac{2}{2010}\right)\left(1-\dfrac{3}{2010}\right)...\left(1-\dfrac{2010}{2010}\right)\left(1-\dfrac{2011}{2010}\right)\)
=\(\left(1-\dfrac{1}{2010}\right)\left(1-\dfrac{2}{2010}\right)\left(1-\dfrac{3}{2010}\right)....\)0\(\left(1-\dfrac{2011}{2010}\right)=0\)