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Home > My Assignments > Section 8.7 (Homework) SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University About this Assignment Due: Tuesday, November 29, 2005 11:06 PM EST Current Score: 7.75 out of 20.75 Question Score Description Taylor and Maclaurin Series pts subs 1 0/1 3/20 2 0.25/0.25 4/20 3 0.25/0.25 3/20 4 0.25/0.25 3/20 5 0.25/0.25 2/20 6 0.25/0.25 3/20 7 0.25/0.25 2/20 8 0.25/0.25 3/20 9 0.25/0.25 2/20 2/3 Viewing: Last Response View: All Responses Notes 1. [SCalcCC2 8.7.04.] 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 = 1 [INFINITY] Give the series using the form below. A = -1 [-1] B = 2 [2] C = 2 [2] D = 1 [1] E = 2 [2] F = 1 [1] G = 2 [2] H = 1 [1] pts subs 1 0/3 1/20 0/3 Viewing: Last Response View: 2. [SCalcCC2 8.7.08.] 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 ) = 0 [-1 + 3*(x+1) - 3*(x+1)^2 + (x+1)^3]

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