Answer: In 5–8, verify the following formulas by expanding

Chapter 8, Problem 8E

(choose chapter or problem)

In Problems 5–8, verify the following formulas by expanding each function in a power series about $x=0$.

$F\left(\frac{1}{2}, 1 ; \frac{3}{2} ;-x^{2}\right)=x^{-1} \arctan x$

Equation Transcription:

$x=0$

$F(\frac{1}{2},\ 1;\ \frac{3}{2};\ -\ {x}^{2})={x}^{-1}\ arctan\ x$

Text Transcription:

x=0

F(12, 1; 32; - x2)=x-1 arctan x

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