Cho dãy ($a_{n}$)$\left\{\begin{matrix} a_{1}=2 & \\ a_{n+1}=a_{n}^{2}+2a_{n}-2 & \end{matrix}\right.$;$n\epsilon \mathbb{N^{*}}$
Tìm $\lim_{x\rightarrow +\infty }(\frac{1}{1+a_{1}}+\frac{1}{(1+a_{1})(1+a_{2})}+...+\frac{1}{(1+a_{1})(1+a_{2})...(1+a_{n})})$