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5x 1. Find a power series representation for f (x) = 1+4x2 and find its radius of convergence. 2. If f (x) = Zn=0 7n

5x 1. Find a power series representation for f (x) = 1+4x2 and find its radius of convergence. 2. If f (x) = Zn=0 7n (2x-1) n+1 ( n+ 2 )n ! -, find f'(x). Simplify and give your answer in a summation notation

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