Question

B =( 1-1/2 ).(1-1/3) ...(1-1/100) tinh B

Answer 1

B= 1/2.2/3.3/4.4/5.........99/100

B= 1/100

Answer 2

\(\Leftrightarrow B=\frac{1}{2}.\frac{2}{3}....\frac{99}{100}\)

\(\Rightarrow B=\frac{1.2.3...99}{2.3.4...100}=\frac{1}{100}\)

=>B=\(\frac{1}{100}\)

Answer 3

\(\text{B =( 1-1/2 ).(1-1/3) ...(1-1/100) }\)=\(\frac{1}{2}\frac{2}{3}\cdot\cdot\cdot\frac{99}{100}\)=\(\frac{1}{100}\)

Answer 4

B=1/100