Question

tính giá trị biểu thức:

( 1 - 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x ... ( 1- 1/1996 ) x ( 1 - 1/1997 ) = ?

Answer 1

(1-1/2)x(1-1/3)x(1-1/4)x....x(1-1/1996)x(1-1/997)

=1/2x2/3x3/4x....x1995/1996x1996/1997

=1x2x3x...x1995x1996/2x3x4x...x1996x1997

=1/1997

Answer 2

\(\Rightarrow\frac{1}{2}x\frac{2}{3}x\frac{3}{4}x\frac{4}{5}x...x\frac{1996}{1997}\)

\(\Leftrightarrow1x\frac{1}{1997}\)\(=\frac{1}{1997}\)