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Unformatted text preview: Express your answer in summation notation. 5. Find the sum of the series 1 ln 2 + ( ln 2) 2 2! ( ln 2) 3 3! + 5 ex. Evaluate the indenite integrals as an innite series: Z e x 1 x dx; Z arctan( x 2 ) dx . 6 ex. Compute the 10th derivative of f ( x ) = arctan x 2 3 , at x = 0. (hint: Use the MacLaurin series for f ( x ) to nd f 10 (0).) 7 NYTI: Suppose the MacLaurin Series of f ( x ) = x 5 e x 3 about x = 0 is x 5 + x 8 + x 11 2! + x 14 3! + x 17 4! + Find the following: d dx x 5 e x 3 j x =0 = d 11 dx 11 x 5 e x 3 j x =0 = Tonights homework Practice problems in todays lecture. 8...
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This note was uploaded on 02/14/2012 for the course MAC 2312 taught by Professor Bonner during the Spring '08 term at University of Florida.
 Spring '08
 Bonner
 Calculus, Maclaurin Series, Taylor Series

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