因为(1-1/2)(1+1/2)(1-1/3)(1+1/3)=2/3,(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)(1-1/5)(1+1/5)=3/5所以当分母为奇数2n-1时,结果为n/(2n-1),因为99=2*50-1,所以原式=3/4*8/9*(99²-1)/99²=50/99
结果=50/99