Question

converges or diverges

Answer 1

\[\sum_{n=1}^{\infty} n/(2n^3 +1)\]

Answer 2

use a comparison or limit comparison test

Answer 3

p series?

Answer 4

or my favourite, the eyeball test
degree of denominator is 3, degree of numerator is 1, \(3-1=2\) and \(2>1\) so converges

Answer 5

guess that works too

Answer 6

Satellite's eyeball test is quite efficient

Answer 7

help me use the comparison test.
\[1/ (2n^2 + 1/n)\]

Answer 8

got it