比较3/2×5/4×7/6×9/8···×99/98与10/1的大小

问题描述:

比较3/2×5/4×7/6×9/8···×99/98与10/1的大小


A = 3/2 × 5/4 × 7/6 × ...× 99/98
B = 2/1 × 4/3 × 6/5 × ...× 98/97 × 100/99
因为 3/2 所以 A = 3/2 × 5/4 × 7/6 × ...× 99/98 × 1 又因为 A × B = 3/1 × 5/3 × 7/5 × ...× 99/97 × 100/99 = 100
所以 A × A 所以 A = 3/2 × 5/4 × 7/6 × ...× 99/98