Use the Comparison Test to Determine Whether the Infinite Series $\sum _ { k = 1 } ^ { \infty } \frac { 1 } { k ^ { 3 } + k - 1 }$

question 90

Short Answer

Use the comparison test to determine whether the infinite series $\sum _ { k = 1 } ^ { \infty } \frac { 1 } { k ^ { 3 } + k - 1 }$ is convergent or divergent.
Enter just "convergent" or "divergent".

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Definitions:

Borderline Personality Disorder

A mental health disorder characterized by unstable moods, behavior, and relationships, often resulting from a fear of abandonment and difficulty regulating emotions.

Mood Disorders

A category of mental health disorders characterized by significant changes or disturbances in mood, such as depression or bipolar disorder.

Borderline Personality Disorder

Borderline Personality Disorder is a mental health disorder characterized by unstable moods, behavior, and relationships.

Inpatient Psychiatric Patients

Individuals admitted to a hospital or psychiatric facility for 24-hour care and supervision due to severe mental health issues.