Question

How do I use the Root Test for (1/n^2-2n) to test for convergence and divergence?

Answer 1

use eyeball test. denominator is a polynomial of degree 2, numerator as degree 0 and \(2 - 0 = 2 > 1\) so it converges

Answer 2

I totally put that on my test!! At first i used the p-series test since 2>1. But wasnt sure if i could do that. Then i ued the integral test. More work, but i still concluded that it converges.