Find a Power Series Representation for the Function $f ( x ) = \frac { x ^ { 2 } } { 1 - 3 x }$

question 257

Essay

Find a power series representation for the function $f ( x ) = \frac { x ^ { 2 } } { 1 - 3 x }$ .

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Definitions:

Hedonists

Individuals who believe that the pursuit of pleasure is the most important goal of human life.

Categorical Imperative

A foundational concept in Kantian moral philosophy asserting that one must act according to maxims that can be universally applied as a law for everyone.

Golden Rule

A moral maxim that encourages treating others as one would like to be treated, found in many religions and ethical systems.

Deontology

A normative ethical theory that emphasizes duties and rules, holding that actions are morally obligatory, permissible, or forbidden primarily in virtue of their adherence to objective moral norms.