
观察下列等式;1*1/2=1-1/2,2*2/3=2-2/3,3*3/4=3-3/4,……
请你计算(1-1/2)/10x(2-2/3)/9x(3-3/4)/8x……x(10-10/11)/1...
请你计算(1-1/2)/10 x (2-2/3)/9 x (3-3/4)/8 x …… x (10-10/11)/1
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(1-1/2)/10 x (2-2/3)/9 x (3-3/4)/8 x …… x (10-10/11)/1
=(1-1/2) x (2-2/3) x (3-3/4)x …… x (10-10/11)/10*9*8*7*.....*1
=(1*1/2*2*2/3*......*10*10/11)/1*2*3*4*...*10
=1/2*2/3*3/4*4/5*.....10/11
=1/11
=(1-1/2) x (2-2/3) x (3-3/4)x …… x (10-10/11)/10*9*8*7*.....*1
=(1*1/2*2*2/3*......*10*10/11)/1*2*3*4*...*10
=1/2*2/3*3/4*4/5*.....10/11
=1/11
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