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Question Number 96930 by pticantor last updated on 21/Jun/20

$$E\left(x\right)denotestheintegerpartofx$$$$x\in ]0;1[determine:$$$$\mathit{E}\left({\mathit{x}}^{\mathit{x}}\right)\mathit{a}\mathit{n}\mathit{d}\mathit{E}\left({\mathit{x}}^{{\mathit{x}}^{\mathit{x}}}\right)$$$$\mathit{c}\mathit{a}\mathit{l}\mathit{c}\mathit{u}\mathit{l}\mathit{l}\mathit{i}\underset{x\to 0}{\mathit{m}}\mathit{E}\left({\mathit{x}}^{{\mathit{x}}^{\mathit{x}}}\right)$$$$\mathit{p}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}\mathit{i}\mathit{n}\mathit{e}\mathit{e}\mathit{d}\mathit{h}\mathit{e}\mathit{l}\mathit{p}\mathit{p}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}$$

Commented by pticantor last updated on 06/Jun/20

$$\mathit{p}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}\mathit{i}\mathit{n}\mathit{e}\mathit{e}\mathit{d}\mathit{h}\mathit{e}\mathit{l}\mathit{p}\mathit{p}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}$$

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