Find the Radius of Convergence and the Interval of Convergence $\sum _ { n = 1 } ^ { \infty } \frac { 4 ^ { n } x ^ { n } } { n }$

question 66

Short Answer

Find the radius of convergence and the interval of convergence of the power series. $\sum _ { n = 1 } ^ { \infty } \frac { 4 ^ { n } x ^ { n } } { n }$

---

Definitions:

Ego Employed

The utilization of one's self-importance, self-esteem, or identity in navigating or influencing social or psychological scenarios.

Freud

Refers to Sigmund Freud, an Austrian neurologist and the founder of psychoanalysis, a method for treating psychopathology through dialogue between a patient and a psychoanalyst.

Oedipal Complex

A concept in psychoanalytic theory referring to a child's unconscious sexual desire for the opposite-sex parent and jealousy toward the same-sex parent.

Sophocles

An ancient Greek playwright known for his contributions to drama and tragedy, including works like "Oedipus Rex."