Determine Whether the Series Converges or Diverges $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } n \sin \left( \frac { \pi } { 9 n } \right)$$

question 94

Short Answer

Determine whether the series converges or diverges.
$$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } n \sin \left( \frac { \pi } { 9 n } \right)$$

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Understand the importance of tailoring communication towards quick responses.

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Definitions:

Constant

A value that remains unchanged throughout the execution of a process or formula.

Poisson Random Variable

A random variable that represents the number of events occurring in a fixed interval of time or space, where these events occur with a known constant mean rate and independently of the time since the last event.

Discrete Random Variable

A random variable that can take on a countable number of distinct values, often representing quantities that can be enumerated.

Continuous Random Variable

A variable that can take on an infinite number of values within a given range, representing outcomes of a random process.