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// Mathematical Education
// Archive
Math. Ed.,
2021
Issue 3(99),
Pages
86–88
(Mi mo760)
Students and teachers of mathematical specialties
Which function is more,
$a^x$
or
$x^p$
?
A. A. Ruban
Siberian State University of Telecommunications and Informatics, Novosibirsk
Abstract:
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.
UDC:
517.18
Fulltext:
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References
©
Steklov Math. Inst. of RAS
, 2024