Expand \((x+1)^{(x+1)}\).
I'm thinking maybe it's 1? My calculator can't do the fancy "x" so I'm not sure.
(x + 1)x+1 =
C(x + 1, 0) * xx+ 1 + C(x+1, 1) * xx + C(x + 1, 2) * xx-1 +.......+ C(x +1, x -1) * x2 + C(x + 1, x) * x +
C(x + 1, x + 1) * x0 * 1x
Note that the first term just evaluates to xx + 1 and the last term just evaluates to 1
Oh, I did do it right. That's good.