裂項法是怎樣的,例:1/3+1/15+1/35+1/63+1/99該怎樣算?

裂項法是怎樣的,例:1/3+1/15+1/35+1/63+1/99該怎樣算?

原式=1/2×(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)
=1/2×(1-1/11)
=5/11