Find a Power Series Representation for the Function $f ( x ) = \arctan ( 3 x )$

question 297

Essay

Find a power series representation for the function $f ( x ) = \arctan ( 3 x )$ and determine its radius of convergence.

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Definitions:

Tariff

A tax imposed by a government on imported or exported goods.

Baseballs

Spherical balls used in the game of baseball, made of cork, rubber, yarn, and leather.

World Price

The global price of a product or service, determined by worldwide demand and supply.

Import Quota

A government-imposed limit on the quantity or monetary value of a certain good or category of goods that can be imported into a country.