Consider the series
\(\displaystyle \sum_{n=3}^{\infty} \frac{a^n}{n^b\left(\log _e n\right)^c}\)
For which values of a, b, c ∈ ℝ, does the series NOT converge?
1
|a|< 1, b, c ∈ ℝ
2
a = 1, b > 1, c ∈ ℝ
3
a = 1,1 ≥ b ≥ 0, c < 1
4
a = -1, b ≥ 0, c > 0