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Unformatted text preview: (a) Which one is it? (b) If it converges, compute the exact sum of the series. If it diverges, explain why. 4. (10 pts.) Find the radius of convergence of s n =2 n 2 (3 x + 2) n 2 n +1 5. (10 pts.) Express f ( x ) = x 3-2 x as a power series centered at 0. 6. (10 pts.) Find the quadratic approximation for f ( x ) = (1 + x ) 1 / 3 centered at 0. 7. (10 pts.) Find the fth order approximation of f ( x ) centered at 0, given that f (0) = 2 and the derivative of f is f ( x ) = cos x 1 + x 2 2...
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- Fall '08