Question: Please only put the answers in 3 boxes (a) Use differentiation to find a power series representation for 1 f(x) = ( 2 + x

 Please only put the answers in 3 boxes (a) Use differentiation

Please only put the answers in 3 boxes

to find a power series representation for 1 f(x) = ( 2

(a) Use differentiation to find a power series representation for 1 f(x) = ( 2 + x ) 2 f( x ) = > n = 0 What is the radius of convergence, R? R = 2 (b) Use part (a) to find a power series for f ( x) = (2 + x) 3 f(x) = > n = 0 What is the radius of convergence, R? R = 2 (c) Use part (b) to find a power series for f ( x ) = x2 ( 2 + x ) 3 n = 2 What is the radius of convergence, R? R = 2

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