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Unformatted text preview: g ( x ) = sin( x 2 ) : Use the ±rst 2 nonzero terms of this series to approximate the integral Z 1 sin( x 2 ) dx: 3. Find the Maclaurin series for f ( x ) = x cos x Write your answer in summation notation. 4. Find the MacLaurin series for f ( x ) = ln( x + 1) using the de±nition of a Maclaurin series. Express your answer in summation notation. 5. Find the sum of the series 1 ± ln 2+ ( ln 2) 2 2! ± ( ln 2) 3 3! + ²²²...
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This note was uploaded on 04/19/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.
 Spring '08
 ALL
 Maclaurin Series, Taylor Series

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