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

question 16

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) \(p < 1\)

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Definitions:

List

An ordered collection of elements which allows duplicate entries and provides methods to manipulate data, such as insertion and deletion.

Unsorted List

A collection of elements that are in no specific order.

Entire List

In programming, it refers to accessing or utilizing all elements in a list data structure.

Selection Sort

Selection sort is a simple sorting algorithm that divides the input list into two parts: the sorted part at the beginning and the unsorted part at the end, then repeatedly selects the smallest or largest element from the unsorted part and moves it to the sorted part.