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

question 107

Short Answer

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.
$$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { \sqrt [ 6 ] { n } }$$

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Definitions:

Tuberculosis

An infectious disease caused by the bacterium Mycobacterium tuberculosis, primarily affecting the lungs but can spread to other organs.

Partial Pressure

The pressure that a single gas component in a mixture of gases would exert if it occupied the entire volume alone at the same temperature.

Pulmonary Capillaries

Tiny blood vessels located within the lungs where gas exchange, including the uptake of oxygen and release of carbon dioxide, occurs.

Oxyhemoglobin-Dissociation Curve

A graph showing the relationship between the partial pressure of oxygen and the saturation of hemoglobin with oxygen.