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Unformatted text preview: rules you are using. (a) n = 1 ln ( n ) (b) n = 1 ln ( n ) n 4. (15 points) Find the radius and interval of convergence for the series n = x n n 2 n . 5. (15 points) Find the Taylor series of sin ( 3 x ) at a = 2 / 3. 6. (15 points) Find the rst three nonzero terms in the Maclaurin series of xex 1 + x . d dx sin1 x = 1 1x 2 , 1sin 2 = cos 2 , sin 2 = 1 2 ( 1cos 2 ) d dx tan1 x = 1 1 + x 2 , 1 + tan 2 = sec 2 , cos 2 = 1 2 ( 1 + cos 2 )...
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This note was uploaded on 04/03/2009 for the course MATH 242 taught by Professor Wang during the Fall '08 term at University of Delaware.
 Fall '08
 wang
 Math, Calculus

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