Qual o valor da soma:
!$ \begin {pmatrix} 1- {\large 1 \over2} \end{pmatrix}. \begin {pmatrix} 1 - {\large 1 \over3} \end{pmatrix}. \begin {pmatrix} 1- {\large 1 \over4} \end{pmatrix} ...... \begin {pmatrix} 1 - {\large 1 \over1000} \end{pmatrix} !$