Let g ( x ) 1 9 x x 2 9 x 3 x 4 , where the coefficients are c 2 n 1 and c 2 n 1 9 for n 0 ( a ) Find the interval of convergence of the series ( Enter your answer using interval notation ) ( b ) Find an explicit formula for g ( x ) g ( x )

Question

Let g ( x )   1   9 x   x 2   9 x 3   x 4   , where the coefficients are c 2 n   1 and c 2 n   1   9 for n 0   ( a ) Find the interval of convergence of the series  ( Enter your answer using interval notation  ) ( b ) Find an explicit formula for g ( x )   g ( x )

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Let g ( x ) = 1 + 9 x + x 2 + 9 x 3 + x 4 + , where the coefficients

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