Hi,

I am having difficulties simplifying the expression $\displaystyle \frac{1}{k!}-\frac{1}{(k+1)!} $.

To obtain like denominators, $\displaystyle \frac{1}{k!}-\frac{1}{(k+1)!}=\frac{(k+1)!-k!}{k!(k+1)!} $, but I do not know how to further simplify the expression. The factorials are messing with me, I think.

Any help would be most certainly appreciated!

Cheers!