How Many Terms of the Series $\sum _ { m = 2 } ^ { \infty } \frac { 12 } { 6 m ( \ln m ) ^ { 2 } }$

question 130

Short Answer

How many terms of the series $\sum _ { m = 2 } ^ { \infty } \frac { 12 } { 6 m ( \ln m ) ^ { 2 } }$ would you need to add to find its sum to within 0.02?

---

Definitions:

Self-Transcendence

The process of surpassing one’s own self-interests, limitations, and focusing on higher goals and the well-being of others.

Self-Actualization

Fulfilling or realizing one's natural talents and capacities, believed to be a basic impulse or prerequisite in humans.

Self-Esteem

A person's personal assessment of their own value, which includes thoughts and feelings about themselves.

Affiliation Motivation

The drive to relate to people on a social basis, to belong.