Given-sequence-y-n-with-y-1-1-y-n-1-1-4-y-n-3-y-n-2-1-find-lim-x-y-n-

Question Number 31709 by gunawan last updated on 13/Mar/18

$$\mathrm{Given}\:\mathrm{sequence}\:\left({y}_{{n}} \right)\:\mathrm{with}\:{y}_{\mathrm{1}} =\mathrm{1}\:, \\ $$$${y}_{{n}+\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{4}}\left({y}_{{n}} ^{\mathrm{3}} +{y}_{{n}} ^{\mathrm{2}} \right)−\mathrm{1}\: \\ $$$$\mathrm{find}\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:{y}_{{n}} \\ $$

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