For sequences, if exists, then it is convergent.
For series, there are a lot of tests that you can use to determine whether or not is convergent.
For this particular example, we have the divergent test which says: If , then is divergent.
how does one tell if an= 2n/(3n+1) is convergent?
i think i remember my instructor saying that you can't just use the coefficients of the highest degrees of n.. but i missed this lesson
also, upon deciding whether or not that is convergent, how do you decide if the series from n=1 to infinity is convergent?