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1. Find the radius and interval of convergence for the following power series: (i) n! (ii) 2 x n=0 2n n=0 3n -1 Sol: (i)

1. Find the radius and interval of convergence for the following power series: (i) n! (ii) 2" x" n=0 2n n=0 3n -1 Sol: (i) {0}, (ii) [-1/2, 1/2) 2. Find the Maclaurin series for the following functions. f ( x ) = ex (- 1)k Sol: er* = r K=0 k

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