Determine Whether the Series Is Absolutely Convergent, Conditionally Convergent, or Divergent

question 38

Short Answer

Determine whether the series is absolutely convergent, conditionally convergent, or divergent. $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { \sqrt [ 3 ] { n } }$

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Definitions:

Direct Observation

The method of gathering data through the immediate or firsthand witnessing or monitoring of behaviors, actions, or phenomena.

Full Moon

The phase of the moon when it is fully illuminated from Earth's perspective, appearing as a bright, circular disc.

Direct Observation

The method of gathering data through immediate, firsthand experience and observation in a natural or control setting.

Reasoning

The process of thinking about something in a logical way to form a conclusion or judgment.