Find the Values Of $p$ For Which the Series Is Convergent $$\sum _ { n = 2 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { \left( \ln \left( n ^ { 6 } \right) \right) ^ { p } }$$

Multiple Choice

Find the values of $p$ for which the series is convergent.
$$\sum _ { n = 2 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { \left( \ln \left( n ^ { 6 } \right) \right) ^ { p } }$$

A) $p > 1$
B) $p > 0$
C) $p < 0$
D) $p < 1$