Question Number 494 by 123456 last updated on 15/Jan/15
![a_0 =0 a_1 =1 a_n =((a_(n−1) +a_(n−2) +a_(n−1) a_(n−2) )/3) lim_(n→∞) a_n =](https://www.tinkutara.com/question/Q494.png)
$${a}_{\mathrm{0}} =\mathrm{0} \\ $$$${a}_{\mathrm{1}} =\mathrm{1} \\ $$$${a}_{{n}} =\frac{{a}_{{n}−\mathrm{1}} +{a}_{{n}−\mathrm{2}} +{a}_{{n}−\mathrm{1}} {a}_{{n}−\mathrm{2}} }{\mathrm{3}} \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:{a}_{{n}} = \\ $$