Question

Do you have to get a finite value from the ratio test? Or can you get an equation and set up an inequality to find the interval of convergence

Answer 1

In your case you must study the convergence by switching cases like:
x/3>1=>...
x/3=1=>TEST IS INCONCLUSIVE
x/3<1=>...

Answer 2

What do you mean?

Answer 3

well in ratio test you must compare the value of the limit with 1 to study convergence

Answer 4

Ok, so its ok to get an equation out of the ratio test?

Answer 5

yeah

Answer 6

Ok, thank you!!