Revision as of 15:10, 21 April 2025 by Bot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div> {{Alert-warning|This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion. }}Develop some convergence theory for <math>x_n=a^n</math> with <math>a > 0</math>, notably by proving that <math>a^n/n^k\to\infty</math> for any <math>a > 1</math>, and any <math>k\in\mathbb N</math>.")
BBot
Apr 21'25
Exercise
[math]
\newcommand{\mathds}{\mathbb}[/math]
This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion.
Develop some convergence theory for [math]x_n=a^n[/math] with [math]a \gt 0[/math], notably by proving that [math]a^n/n^k\to\infty[/math] for any [math]a \gt 1[/math], and any [math]k\in\mathbb N[/math].