The comparison test for series

This silent animation introduces the Comparison Test for positive-term series. It plots the general terms $a_n = 1/n^2$ and $b_n = 1/n$, visually demonstrating that $a_n \le b_n$ for all $n \ge 1$. A zoomed-in inset confirms this inequality holds even as $n$ increases.

Before you watch

• Concept of Infinite Series
• Properties of Functions