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

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

Find a Power Series Representation for the Function and Determine f(x)=arctan⁡(x4)f ( x ) = \arctan \left( \frac { x } { 4 } \right)f(x)=arctan(4x​)

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