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Question Number 49326 by Saorey last updated on 05/Dec/18

$$\mathrm{please}\mathrm{help}\mathrm{me}!$$$$\{\begin{array}{l}{\mathrm{u}}_1=a,{\mathrm{u}}_2=\mathrm{b}\\ {\mathrm{u}}_{\mathrm{n}+2}=3\sqrt[5]{{\mathrm{u}}_{\mathrm{n}+1}}+13\sqrt[5]{{\mathrm{u}}_{\mathrm{n}}},\mathrm{n}\in {\mathbb{N}}^{\ast }\end{array}$$$$\mathrm{show}\mathrm{that}\left({\mathrm{u}}_{\mathrm{n}}\right)\mathrm{have}\mathrm{limit}\mathrm{and}\mathrm{find}$$$$\mathrm{its}\mathrm{limit}.$$

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