(a) Use differentiation to find a power series representation for 1 f(x) (5 + x)2 Σ f(x): n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for 1 f(x) (5 + x)3 00...

(a) Use differentiation to find a power series representation for<br>1<br>f(x)<br>(5 + x)2<br>Σ<br>f(x):<br>n = 0<br>What is the radius of convergence, R?<br>R =<br>(b) Use part (a) to find a power series for<br>1<br>f(x)<br>(5 + x)3<br>00<br>f(x) =<br>n = 0<br>What is the radius of convergence, R?<br>R =<br>(c) Use part (b) to find a power series for<br>x2<br>f(x)<br>(5 + x)3<br>00<br>f(x) = O<br>n = 2<br>What is the radius of convergence, R?<br>R =<br>

Extracted text: (a) Use differentiation to find a power series representation for 1 f(x) (5 + x)2 Σ f(x): n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for 1 f(x) (5 + x)3 00 f(x) = n = 0 What is the radius of convergence, R? R = (c) Use part (b) to find a power series for x2 f(x) (5 + x)3 00 f(x) = O n = 2 What is the radius of convergence, R? R =

Jun 04, 2022

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(a) Use differentiation to find a power series representation for 1 f(x) (5 + x)2 Σ f(x): n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for 1 f(x) (5 + x)3 00...

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