请用平方差公式求(1-1/4)乘(1-1/9)...乘(1-10000/1)

问题描述:

请用平方差公式求(1-1/4)乘(1-1/9)...乘(1-10000/1)

=(1-1/2^2)(1-1/3^2)……(1-1/100^2) 后面的写错了吧=(1+1/2)(1-1/2)(1+1/3)(1-1/3)……(1+1/100)(1-1/100)=3/2×1/2×4/3×2/3……101/100×99/100=(3/2×4/3……101/100)×(1/2×2/3×99/100)=101/2×1/100=101/20...