Question

use direct comparison test to prove Σ(k^(4/3)/(8k^2+5k+1))is divergent

Answer 1

use \[1/k ^{2/3}\]

Answer 2

I did
But it is higher than the original equation

Answer 3

you cant use limit comparison test?

Answer 4

The book said Use comparison test
But there is another section saying "Limit comparison test"

Answer 5

limit comparison test is easier because it does not have to be smaller

Answer 6

can i make it to k^(4/3)/(8k^2+8k^2+8k^2) just to make it smaller?

Answer 7

so it will become 1/24k^(2/3)
and it will pass the p test and smaller

Answer 8

you have to use a function that you know diverges by some rule in this case divergent p series