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Question Number 92785 by Ar Brandon last updated on 09/May/20

a) Find E(x^x ) then E(x^x^x  ) for x∈]0,1[  b) find lim_(x→0)  E(x^x^x  )

$$\left.\mathrm{a}\left.\right)\:\mathrm{Find}\:\mathrm{E}\left(\mathrm{x}^{\mathrm{x}} \right)\:\mathrm{then}\:\mathrm{E}\left(\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } \right)\:\mathrm{for}\:\mathrm{x}\in\right]\mathrm{0},\mathrm{1}\left[\right. \\ $$$$\left.\mathrm{b}\right)\:\mathrm{find}\:\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{E}\left(\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } \right) \\ $$

Commented by Ar Brandon last updated on 09/May/20

Hum, integer part.

Commented by  M±th+et+s last updated on 09/May/20

E   you mean floor and ceil function?

$${E}\:\:\:{you}\:{mean}\:{floor}\:{and}\:{ceil}\:{function}? \\ $$

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