Question

tính giá trị biệt thức (1-1/2)x(1-1/3)x(1-1/4)x(1-1/2003)x(1-1/2001) 

x là dấu nhân

Answer 1

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)......\left(1-\frac{1}{2001}\right)\)

\(=\frac{1}{2}.\frac{2}{3}..........\frac{2000}{2001}\)

\(=\frac{1}{2001}\)

Answer 2

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{2003}\right)\left(1-\frac{1}{2004}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{2002}{2003}.\frac{2003}{2004}\)

\(=\frac{1.2.3...2002.2003}{2.3.4...2003.2004}\)

\(=\frac{1}{2004}\)

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