Question

упростить выражение 
(n+1)!+1/1*1!+2*2!+3*3!+...+n*n!

Answer 1

$1*1!+2*2!+3*3!+4*4!+5*5!...n*n! = \\ 1!+2*2! = 5\ 5+3*3! = 23\ 23+4*4!=23+96=119\\ (n+1)!-1\\ frac{(n+1)!+1}{(n+1)!-1} = frac{(n+1)!-1+2}{(n+1)!-1}=1+frac{2}{(n+1)!-1}$