Question

tính tích

A = ( 1- 1 phần 2010) nhân ( 1- 2 phần 2010) nhân (1- 3 phần 2010) nhân ....(1- 2011 phần 2010

Answer 1

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

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

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

\(A=\left(1-\frac{1}{2010}\right)\left(1-\frac{2}{2010}\right)\left(1-\frac{3}{2010}\right)....0.\left(1-\frac{2011}{2010}\right)\)

\(A=0\)

Answer 2

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

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

\(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)...0.\left(1-\frac{2011}{2010}\right)\)

\(\Rightarrow A=0\)

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