I recently had this classic example to determine if it converged or diverged
I learned that you can use a comparison test using the squeeze theorem.
Then you would take the limit of
which was go to 0.
Because the function was greater than the original you can say the original converged as well to a limit of 0.
However, how would the harmonic series, diverge if you are basically determining the limit of the same thing
Edit: Poor question, trying to mark as solved, please disregard, if misused the concept of series and sequence