Determine if the series converges absolutely, converges, or diverges.
-$$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 3 n ^ { 4 } + 6 } { 8 n ^ { 6 } + 9 } \right)$$
A) Diverges
B) Converges absolutely
C) Converges conditionally

Question

Quizplus · Accepted Answer

The series converges absolutely because the series of absolute values converges.

Determine If the Series Converges Absolutely, Converges, or Diverges ∑n=1∞(−1)n(3n4+68n6+9)\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 3 n ^ { 4 } + 6 } { 8 n ^ { 6 } + 9 } \right)n=1∑∞​(−1)n(8n6+93n4+6​)

Determine If the Series Converges Absolutely, Converges, or Diverges $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 3 n ^ { 4 } + 6 } { 8 n ^ { 6 } + 9 } \right)$