Question

阶乘和数列的问题2/3!+3/4!+4/5!+.+99/100!其中 表示阶乘即为n*(n-1)*(n-2)*.*2*1

Answer 1

2/3!+3/4!+4/5!+.+99/100!=(3-1)/3!+(4-1)/4!+(5-1)/5!+.+(100-1)/100!=1/2!+1/3!+1/4!+.+1/99!-(1/3!+1/4!+1/5!+.+1/100!)=1/2!-1/100!