Find an Approximation of the Sum of the Series Accurate $$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n ^ { 3 } }$$

question 123

Short Answer

Find an approximation of the sum of the series accurate to two decimal places.
$$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { n ^ { 3 } }$$

---

Definitions:

Self-esteem

An individual’s subjective evaluation of their own worth, including beliefs about oneself and emotional states relating to self-acceptance.

Public Speaking

The act or process of speaking in front of a live audience with the intention to inform, persuade, or entertain.

Self-confidence

The belief in one's abilities and capacities to accomplish tasks and face challenges effectively.

Codependent Relationship

A type of dysfunctional relationship where one person enables another person's poor mental health, addiction, irresponsibility, or underachievement.