Answer
Determine $L=\lim\limits_{k \to \infty} \dfrac {a_k}{b_k}$
Decide the nature of the series depending on $L$
Work Step by Step
When $\sum a_k$ and $\sum b_k$ are series of positive terms, in order to apply the Limit Comparison Test we determine $L=\lim\limits_{k \to \infty} \dfrac {a_k}{b_k}$.
Then decide if the series converge or diverge depending on the value of $L$:
