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Question Number 97807 by Ar Brandon last updated on 09/Jun/20

$$\mathcal{G}\mathrm{iven}{\left({\mathrm{u}}_{\mathrm{n}}\right)}_{\mathrm{n}\in \mathbb{N}},\mathrm{suppose}{\left({\mathrm{u}}_{2\mathrm{n}}\right)}_{\mathrm{n}\in \mathbb{N}}\mathrm{and}{\left({\mathrm{u}}_{2\mathrm{n}+1}\right)}_{\mathrm{n}\in \mathbb{N}}$$$$\mathrm{converge}\mathrm{towards}\mathrm{the}\mathrm{same}\mathrm{limit},\mathrm{L}.$$$$\mathcal{S}\mathrm{how}\mathrm{that}{\left({\mathrm{u}}_{\mathrm{n}}\right)}_{\mathrm{n}\in \mathbb{N}}\mathrm{equally}\mathrm{converges}\mathrm{to}\mathrm{L}.$$

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