Question: 4. Suppose a function f(x) has a pouyr series repre;entation given by f (r) (a) Find a pouer serif% representation for f'(x) centered around

4. Suppose a function f(x) has a pouyr series repre;entation given by

4. Suppose a function f(x) has a pouyr series repre;entation given by f (r) (a) Find a pouer serif% representation for f'(x) centered around x O. (b) What is Fl 2) (Hint: you don't need to manually take 12 derivatives) 5. Find the Taylor series and radius of convergence for f(x) e3r centered around 2.

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