裂项法:一乘二分之五加2乘3分之五加三乘四分之五加……加48乘49分之五加49乘五十分之五=5×(1-1/2+1/2-1/3+1/3-1/4+……+1/48-1/49+1/49-1/50)=5×(1-1/50)=5-1/10=4.9