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Unformatted text preview: Section 8.7 (Homework) 1. [SCalcCC2 8.7.04.] 3/3 points Last Response  Show Details All Responses Notes Find the Maclaurin series for f ( x ) using the definition of a Maclaurin series. (Assume that f has a power series expansion. Do not show that R n ( x ) 0.) Also find the associated radius of convergence. (To enter  or , type INFINITY or INFINITY.) f ( x ) = sin 2 x R = INFINITY INFINITY Give the series using the form below. A = 11 B = 2 2 C = 2 2 D = 1 1 E = 2 2 F = 1 1 G = 2 2 H = 1 1 2. [SCalcCC2 8.7.08.] 3/3 points Last Response  Show Details All Responses Notes Find the Taylor series for f ( x ) centered at the given value of a . (Assume that f has a power series expansion. Do not show that R n ( x ) 0.) f ( x ) = x 3 , a = 1 f ( x ) = 1+3*(x+1)3(x+1)^2+(x+1)^3 1 + 3*(x+1)  3*(x+1)^2 + (x+1)^3 3. [SCalcCC2 8.7.18.] 1.75/1.75 points Last Response  Show Details All Responses Notes Use a Maclaurin series derived in this section to obtain the Maclaurin series for the given...
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This note was uploaded on 10/28/2010 for the course MA MA 241 taught by Professor Lesliekurtz during the Spring '10 term at N.C. State.
 Spring '10
 LeslieKurtz
 Calculus, Maclaurin Series, Power Series

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