A. A. Ruban, “Which function is more, $a^x$ or $x^p$?”, Math. Ed., 2021, no. 3(99), 86

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Mathematical Education, 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

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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.

Document Type: Article

UDC: 517.18

Language: Russian

Citation: A. A. Ruban, “Which function is more, $a^x$ or $x^p$?”, Math. Ed., 2021, no. 3(99), 86–88

Citation in format AMSBIB

\Bibitem{Rub21}

\by A.~A.~Ruban

\paper Which function is more, $a^x$ or $x^p$?

\jour Math. Ed.

\yr 2021

\issue 3(99)

\pages 86--88

\mathnet{http://mi.mathnet.ru/mo760}

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https://www.mathnet.ru/eng/mo760

https://www.mathnet.ru/eng/mo/y2021/i3/p86

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	207
Full-text PDF :	204
References:	52

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