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Question Number 96314 by Ar Brandon last updated on 31/May/20

$$\mathfrak{a}\mathrm{\setminus }\mathcal{L}\mathfrak{et}\mathbf{E}\left(\mathfrak{x}\right)\mathbf{d}\mathfrak{enote}\mathfrak{the}\mathfrak{whole}\mathfrak{number}\mathfrak{part}\mathfrak{of}\mathfrak{the}\mathfrak{real}$$$$\mathfrak{number}\mathfrak{x},\mathbf{d}\mathfrak{etermine}\mathbf{E}\left({\mathfrak{x}}^{\mathfrak{x}}\right)\mathfrak{an}\mathbf{d}\mathbf{E}\left({\mathfrak{x}}^{{\mathfrak{x}}^{\mathfrak{x}}}\right)\mathfrak{for}\mathfrak{x}\in ]0,1[$$$$\mathfrak{b}\mathrm{\setminus }\mathcal{C}\mathfrak{alculate}\underset{\mathfrak{x}\to 0}{\mathfrak{lim}}\mathbf{E}\left({\mathfrak{x}}^{{\mathfrak{x}}^{\mathfrak{x}}}\right)$$

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