Find a Power Series Representation for the Function and Determine $f ( x ) = \arctan \left( \frac { x } { 4 } \right)$

question 18

Short Answer

Find a power series representation for the function and determine the radius of convergence. $f ( x ) = \arctan \left( \frac { x } { 4 } \right)$

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Definitions:

21st Century Act

Legislation aimed at addressing contemporary issues and needs, often involving technology, healthcare, or economic reforms. (Note: This term is broad and could refer to specific acts in different jurisdictions; without more context, this definition remains general.)

Drawer's Incompetence

Refers to a situation where the person who has written a check (the drawer) is legally unable to enter into a contract, making the check potentially invalid.

Adjudication

The legal process of resolving a dispute or deciding a case, often resulting in a final judgment in court.

Electronic Funds Transfer (EFT)

The electronic transfer of money from one bank account to another, either within a single financial institution or across multiple institutions, through computer-based systems.