計(jì)算[1－2＾（－2）]*[1-3^(-2)]*......*[1-9^(-2)]*[1-10^(-2)]

熱心網(wǎng)友

[1－2＾（－2）]*[1-3^(-2)]*......*[1-9^(-2)]*[1-10^(-2)]=[1-1/(2*2)]*[1-1/(3*3)]*......*[1-1/(10*10)]=(1-1/2)(1+1/2)*(1-1/3)(1+1/3)*......*(1-1/10)(1+1/10)=(1/2)(3/2)*(2/3)(4/3)*......*(9/10)(11/10)=(1/2)*(11/10)=11/20

熱心網(wǎng)友

1－2＾（－2）]*[1-3^(-2)]*......*[1-9^(-2)]*[1-10^(-2)]=[1-1/(2*2)]*[1-1/(3*3)]*......*[1-1/(10*10)]=(1-1/2)(1+1/2)*(1-1/3)(1+1/3)*......*(1-1/10)(1+1/10)=(1/2)(3/2)*(2/3)(4/3)*......*(9/10)(11/10)=(1/2)*(11/10)=11/20

熱心網(wǎng)友

11/20

熱心網(wǎng)友

厲害