List of top Real Analysis Questions on Convergence tests asked in IIT JAM MA

Let \( a, b, c \in \mathbb{R} \). Which of the following values of \( a, b, c \) do NOT result in the convergence of the series 
\[ \sum_{n=3}^{\infty} \frac{a^n}{n^b (\log_e n)^c} ? \]