Which function is more, $a^x$ or $x^p$?
Matematičeskoe obrazovanie, no. 3 (2021), pp. 86-88
Cet article a éte moissonné depuis la source Math-Net.Ru
The range of values $x$ is described, for which the function $x^p$ is larger than the function $a^x$. It is proved that this region is a segment $(l, r)$ and an asymptotically sharp estimate for the boundaries is given.
@article{MO_2021_3_a8,
author = {A. A. Ruban},
title = {Which function is more, $a^x$ or $x^p$?},
journal = {Matemati\v{c}eskoe obrazovanie},
pages = {86--88},
year = {2021},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MO_2021_3_a8/}
}
A. A. Ruban. Which function is more, $a^x$ or $x^p$?. Matematičeskoe obrazovanie, no. 3 (2021), pp. 86-88. http://geodesic.mathdoc.fr/item/MO_2021_3_a8/
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