I need to show these are equal, but for the life of me I cant show it:

I know they involve a little trick to show but i just cant see it

1.

Prove that $\displaystyle 1/2! + 2 / 3!+ ... + n/(n+1)! = 1 - 1/(n+1)!$

$\displaystyle (k+1)/(k+2)!$ = $\displaystyle 1 - 1/(k+2)!$