O valor da soma !$ \dfrac {1} {2022^{-2} \, +1} \, + \, \dfrac {1} {2022^{-1} \, +1} \, + \, \dfrac {1} {2022^{0} \, +1} \, + \, \dfrac {1} {2022^{1} \, +1} \, + \, \dfrac {1} {2022^{2} \, +1} !$ é: