Answer the question

(a) Use differentiation to find a power series representation for 1 F(x ) = . (4 + x ) 2 f ( x ) = n = 1 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for 1 A( x ) = . ( 4 + x ) F ( x ) = n = 1 What is the radius of convergence, R? R = (c) Use part (b) to find a power series for f( x) = (4+x )3 00 A( x ) = > n = What is the radius of convergence, R? R =Test the series for convergence or divergence. sin (30) neil+ 27 O convergent O divergent