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 )](https://www.tinkutara.com/question/Q92785.png)
$$\left.\mathrm{a}\left.\right)\:\mathrm{Find}\:\mathrm{E}\left(\mathrm{x}^{\mathrm{x}} \right)\:\mathrm{then}\:\mathrm{E}\left(\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } \right)\:\mathrm{for}\:\mathrm{x}\in\right]\mathrm{0},\mathrm{1}\left[\right. \\ $$$$\left.\mathrm{b}\right)\:\mathrm{find}\:\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{E}\left(\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } \right) \\ $$
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
$${E}\:\:\:{you}\:{mean}\:{floor}\:{and}\:{ceil}\:{function}? \\ $$