Find a power series representation for the function. f(x)=x 8
tan −1
(x 3
) f(x)=∑ n=0
[infinity]
​
( 8 n+2
(n+1)x n+3
​
Determine the radius of convergence, R. R= Find a power series representation for the function. (Give your power series representation centered at x=0.) f(x)= 19+x
2
​
f(x)=∑ n=0
[infinity]
​
( 19 n+2
(−2) n
​
x n
)
​
Determine the interval of convergence. (Enter your answer using interval notation.) Find a power series representation for the function. f(x)= 1−x 6
8
​
f(x)=∑ n=0
[infinity]
​
( Determine the interval of convergence. (Enter your answer using interval notation.)