Find

\[\lim_{n \to \infty} \big(\frac{a_{1}+1}{a_1} \big) \big(\frac{a_{2}+1}{a_2} \big) ……\big(\frac{a_{n}+1}{a_n} \big)\]

\[a_1 = 1\] \[ a_n = n(1+a_{n-1})\]

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