数学化简(1-1/2*2)(1-1/3*3)(1-1/4*4).(1-1/9*9)(1-1/10*10)
问题描述:
数学化简(1-1/2*2)(1-1/3*3)(1-1/4*4).(1-1/9*9)(1-1/10*10)
答
1-1/2*2=(1-1/2)*(1+1/2)=1/2*(3/2)1-1/3*3=(1-1/3)*(1+1/3)=2/3*4/3(1-1/2*2)(1-1/3*3)(1-1/4*4).(1-1/9*9)(1-1/10*10)=1/2*(3/2)*(2/3)*(4/3)*.*(9/10)*(11/10)两两相约后=(1/2)*(11/10)=11/20...