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About this Assignment SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University Due: Tuesday, November 29, 2005 11:05 PM EST Description Representations of Current Score: 8.5 out of 8.5 Functions as Power Question Score Series pts 1 0.25/0.25 2 0.25/0.25 3 0.25/0.25 4 0.25/0.25 1/1 subs 1/20 4/20 2/20 2/20 1. [SCalcCC2 8.6.04.] Find a power series representation for the function (Do this on paper. Your teacher may ask you to turn in this work.) and determine the interval of convergence. Viewing: Last Response View: Saved Work All Responses Notes pts 1 0.25/0.25 2 0.25/0.25 3 0.25/0.25 4 0.25/0.25 1/1 Viewing: Last Response View: Saved Work All Responses Notes pts 1 0.25/0.25 2 0.25/0.25 3 0.25/0.25 4 0.25/0.25 1/1 Viewing: I=( [ ( ]1 [1],1 [1]) [)] subs 1/20 4/20 2/20 1/20 2. [SCalcCC2 8.6.06.] Find a power series representation for the function (Do this on paper. Your teacher may ask you to turn in this work.) and determine the interval of convergence. I=( [ ( ]1/6 [0.167],1/6 [0.167]) [)] subs 1/20 2/20 4/20 2/20 3. [SCalcCC2 8.6.10.] Find a power series representation for the function (Do this on paper. Your teacher may ask you to turn in this work.) and determine the interval of convergence. Last Response View: Saved Work All Responses Notes pts subs 1 2/2 2/20 2/2 Viewing: Last Response View: Saved Work All Responses Notes pts subs 1 2/2 2/20 2/2 Viewing: Last Response View: Saved Work All Responses Notes pts 1 0.25/0.25 2 0.25/0.25 3 0.25/0.25 4 0.25/0.25 5 0.25/0.25 6 0.25/0.25 1.5/1.5 Viewing: Last Response View: Saved Work All Responses Notes I=( [ ( ]1/2 [0.5],1/2 [0.5]) [)] 4. [SCalcCC2 8.6.14.] Find a power series representation for the function (Do this on paper. Your teacher may ask you to turn in this work.) and determine the radius of convergence. R = 1/2 [0.5] 5. [SCalcCC2 8.6.16.] Find a power series representation for the function (Do this on paper. Your teacher may ask you to turn in this work.) and determine the radius of convergence. f(x) = arctan(x/3) R=3 [3] subs 1/20 12/20 6/20 3/20 6/20 3/20 6. [SCalcCC2 8.6.22.] Evaluate the indefinite integral as a power series. Give your answer in the form below where K is an arbitrary constant. A = 0 [0] B = 1 [1] C = 5 [5] D=2 E=5 F=2 [2] [5] [2] ...
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 Spring '09
 Hubbard
 Calculus, Power Series, Radius of convergence, power series representation, Cauchy–Hadamard theorem

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