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Unformatted text preview: n √ n show all work!!! 2. ( 3 points ) * Does the following series ∞ X n =0 1 n 21 converge or diverge. Justify your answer. 3. ( 4 points ) *** Does the following series ∞ X n =0 n 2 √ n 5 + 2 n 2 converge or diverge? Justify your answer 4. ( 4 points ) ***What is the radius and interval of convergence for the following power series ∞ X k =1 (1) k √ k 21 x k 5. ( 3 points ) ** Find a power series expansion for the function f ( x ) = cos x centered at x = π 6. ( 3 points ) ** Find a power series expansion for the function f ( x ) = 1 + x 1x centered at x = 0 7. ( 3 points ) * Solve the ODE y +2 xy = x 8. ( 3 points ) * Find the general solution to the ODE y 00 + y + y = 0 9. ( 4 points ) *** Use the method of power series to solve the ODE y3 y = 0...
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This note was uploaded on 02/22/2012 for the course MATH 9c taught by Professor C during the Fall '11 term at UC Riverside.
 Fall '11
 c
 Math

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