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Unformatted text preview: =2 2( 1 2 n & 1 2 n +1 ) : (a) (10 points) Find an expression for the n th partial sum s n of the series. (b) (10 points) Compute lim n !1 s n : 3. (20 points) Determine whether the following series converges absolutely, conditionally or whether it diverges. Be sure to justify your answers! 1 X n =1 ( & 1) n n 4. (20 points) Determine the convergence or divergence of the following series. Be sure to justify your answer! 1 X n =1 1 n 2 3 n 1 5. Find the radius of convergence and the interval of convergence of the series. (a) (10 points) P 1 n =0 p nx n (b) (10 points) P 1 n =0 ( & 1) n ( x & 3) n 2 n +1 2...
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 Fall '11
 c
 Calculus

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