Question: Find a power series for f ( x ) = 8 x ( x 2 + 1 ) 2 , | x | 1 i

Find a power series for f(x)=8x(x2+1)2,|x|1in the form n=1an.
Hint: First, find the power series for g(x)=(1+x2)-1 and then differentiate.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
an=(-1)nx2n+1
Find a power series for f ( x ) = 8 x ( x 2 + 1 )

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