1/2 X 2/3 X 3/4 X……99/100 X 100/101
问题描述:
1/2 X 2/3 X 3/4 X……99/100 X 100/101
答
1/2 × 2/3 × 3/4 × ...× 99/100 × 100/101
=(1×2×3×...×100) / (2×3×4×...×100×101)
=(1×2×3×...×100)( 1×2×3×...×100 × 101)
=1/101