Closed form for the series $\sum^{\infty}_{x=2}\frac{1}{x!-1}$ and related ones

113 Views Asked by At

Does anyone know if there a closed-form expression for:

A. $\displaystyle\sum^{\infty}_{x=2}\frac{1}{x!-1}$

B. $\displaystyle\sum^{\infty}_{x=0}\frac{1}{x!+1}$

C. $\displaystyle\sum^{\infty}_{x=0}\frac{1}{x!+x}$

I guess there should be, but again, I couldn't come up with anything. Wolfram/Alpha did no help.