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(a) Find a power series representation for the function. (Give your power series representation centered at x = 0.) f (x) = 14x2 + 1

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(a) Find a power series representation for the function. (Give your power series representation centered at x = 0.) f (x) = 14x2 + 1 14 (-1) 2 2n+1 O n=0 O n=0 E(-1)" 147+1 n+1 On= 0 O 14n 72=0 E(-1)" 14 2 2n+1 On=0 (b) Determine the interval of convergence. ? ? v

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