Question

Tính:

M= \(\left(\frac{1}{2}-1\right).\left(\frac{1}{3}-1\right).\left(\frac{1}{4}-1\right)...\left(\frac{1}{2011}-1\right)\)

Answer 1

\(M=\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right)\left(\frac{1}{4}-1\right)...\left(\frac{1}{2011}-1\right)\)

\(M=-\frac{1}{2}.-\frac{2}{3}.-\frac{3}{4}...-\frac{2010}{2011}\)

\(M=-\frac{1}{2011}\)

Answer 2

M =-1/2011