1/2*2!+2/3*3!+3/4*4!+4/5*5!+5/6*6!+6/7*7!+7/8*8!+8/9*9!
=（1-1/2)*2!+(1-1/3)*3!+...+(1-1/9)*9!
=(2!-1!)+(3!-2!)+(4!-3!)+...+(9!-8!)=9!-1=362879