\(\frac{1\cdot2010+2\cdot2009+3\cdot2008+...+2010\cdot1}{\left(1+2+3+...+2010\right)+\left(1+2+3+...+2009\right)+...+\left(1+2\right)+1}\)

Tính:

\(\dfrac{1.2010+2.2009+3.2008+...+2010.1}{\left(1+2+3+...+2010\right)+\left(1+2+3+...+2009\right)+...\left(1+2\right)+1}\)

Tính tich : \(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)......\left(1-\frac{2011}{2010}\right)\)

Tính A= \(\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)....\left(1-\frac{2011}{2010}\right)\)

1.tính tổng

a. A=\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{20}\right)\)

b. B=\(\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right).....\left(1-\frac{2011}{2010}\right)\)

\(\left(\frac{1}{2011}+\frac{2}{2010}+\frac{3}{2009}+4\right):\left(\frac{1}{2009}+\frac{1}{2010}+\frac{1}{2011}+\frac{1}{2012}\right)\) = ?

Tính tích:

A = \(\left(1-\frac{1}{2010}\right)\left(1-\frac{2}{2010}\right)\left(1-\frac{3}{2010}\right)...\left(1-\frac{11}{2010}\right)\)

Giúp với!Còn quà thì tính sau nhé!

\(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)....\left(1-\frac{2011}{2010}\right)\)

Tính: \(A=\left(1-\frac{1}{2010}\right)\left(1-\frac{2}{2010}\right)\left(1-\frac{3}{2010}\right)\left(1-\frac{4}{2010}\right)...\left(1-\frac{4020}{2010}\right)\)