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

question 75

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:

Linear Perspective

A technique in art and photography that creates the illusion of depth on a flat surface, using lines converging towards a single point on the horizon.

Aerial Perspective

A depth cue that involves the observation of distant objects appearing less sharp and usually bluer than nearer objects, due to the scattering of light through the atmosphere.

Convergence

The coming together of two or more things to merge or intersect, often referred to in the context of ideas, forces, or physical objects.

Perception

The process of organizing, identifying, and interpreting sensory information to represent and understand the environment or an event.