(b) Use part (a) to find a power series for the following function. 1 f(x)= =...

 

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(b) Use part (a) to find a power series for the following function. 1 f(x)= = (2+x)³ 112 (-1)" (n + 2)(n+1) 5 27+45 [ 2² (n + 2)(n+1) ₂ 1=0) 2+3 8 Σ(-1)" (n+1) n²n+2 -1) 1² 2010 n=0 132 2Σ(-1)" (n+3) (n + 2)(n+1); n=1 What is the radius of convergence? R= 00 Σ(-1)" (n+2)(n+1); n=0 2n+2 (1) 20 2² 2+3 (b) Use part (a) to find a power series for the following function. 1 f(x)= = (2+x)³ 112 (-1)" (n + 2)(n+1) 5 27+45 [ 2² (n + 2)(n+1) ₂ 1=0) 2+3 8 Σ(-1)" (n+1) n²n+2 -1) 1² 2010 n=0 132 2Σ(-1)" (n+3) (n + 2)(n+1); n=1 What is the radius of convergence? R= 00 Σ(-1)" (n+2)(n+1); n=0 2n+2 (1) 20 2² 2+3

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