answer is not needed but your approach

Algebra Level 3

*which is the least *

1) 0.3 3 0.33 0.33^{0.33}

2) 0.4 4 0.44 0.44^{0.44}

3) p i − 1 / p i pi^{-1/pi}

4) e − 1 / e e^{-1/e}

2) 3) 1) 4)

U Z by U Z , 24, Guyana

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1 solution

Saket Sharma
Sep 27, 2014

Consider the function f ( x ) = x x f(x) = x^{x} . Using maxima/minima one can easily find that minima occurs at x = 1 e x = \frac {1}{e}

Not to overlook the fact that e ( − 1 e ) = ( 1 e ) 1 e e^{(\frac{-1}{e})} = (\frac{1}{e})^{\frac{1}{e}}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

@megh choksi It was not clear what you meant. I've converted your problem directly into Multiple Choice, so that it is more obvious.

Note that you can do so directly when you post a problem, by selecting "Multiple Choice" instead of "Real Number".

Calvin Lin Staff - 6 years, 8 months ago

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