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Unformatted text preview: Home > My Assignments > Section 8.5 (Homework) About this Assignment SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University Due: Thursday, November 17, 2005 11:04 PM EST Description Power Series Current Score: 0 out of 17.5 Question Score 1. [SCalcCC2 8.5.04.] Find the radius of convergence and interval of convergence of the series. (To enter - or , type -INFINITY or INFINITY.) pts 1 -/1 -/0.2 2 5 -/0.2 3 5 -/0.2 4 5 -/0.2 5 5 Notes pts 1 -/1 -/0.2 2 5 -/0.2 3 5 -/0.2 4 5 -/0.2 5 5 Notes pts 1 -/1 -/0.2 2 5 -/0.2 3 5 -/0.2 4 5 -/0.2 5 5 subs -/20 -/20 -/20 -/20 -/20 R = (No Response)[1] I = (No Response)[ ( ](No Response)[-1],(No Response)[1](No Response)[ ] ] 2. [SCalcCC2 8.5.08.] Find the radius of convergence and interval of convergence of the series. (To enter - or , type -INFINITY or INFINITY.) subs -/20 -/20 -/20 -/20 -/20 R = (No Response)[5] I = (No Response)[ [ ](No Response)[-5],(No Response)[5](No Response)[ ) ] 3. [SCalcCC2 8.5.12.] Find the radius of convergence and interval of convergence of the series. (To enter - or , type -INFINITY or INFINITY.) subs -/20 -/20 -/20 -/20 -/20 R = (No Response)[1] I = (No Response)[ ( ](No Response)[4],(No Response)[6](No Response)[ ) ] Notes pts 1 -/1 -/0.2 2 5 -/0.2 3 5 -/0.2 4 5 -/0.2 5 5 Notes subs -/20 -/20 -/20 -/20 -/20 4. [SCalcCC2 8.5.16.] Find the radius of convergence and interval of convergence of the series. (To enter - or , type -INFINITY or INFINITY.) R = (No Response)[0.5] I = (No Response)[ ( ](No Response)[-3.5],(No Response)[-2.5](No Response)[ ] ] 5. [SCalcCC2 8.5.20.] Suppose that the following series converges when x = -4 and diverges when x = 6. pts subs 1 -/1 -/20 2 -/1 -/20 3 -/1 -/20 4 -/1 -/20 5 -/1 -/20 6 -/1 -/20 7 -/1 -/20 8 -/1 -/20 Notes What can be said about the convergence or divergence of the following series? (a) It (No Response)[ converges ] when x = (No Response) [1]. (b) It (No Response)[ diverges ] when x = (No Response)[8]. (c) It (No Response)[ converges ] when x = (No Response)[3]. (d) It (No Response)[ diverges ] when x = (No Response)[-7]. pts -/0.2 1 5 -/0.2 2 5 -/0.2 3 5 -/0.2 4 5 Notes subs -/20 -/20 -/20 -/20 6. [SCalcCC2 8.5.26.] If f(x) is the following where cn + 4 = cn for all n 0, find the interval of convergence of the series. (No Response)[ ( ](No Response)[-1],(No Response)[1](No Response)[ ) ] 7. [SCalcCC2 8.5.28.] Suppose that the radius of convergence of the power series cnxn is R. What is the radius of convergence of the power series cnx2n? (_) (_) (_) (_) (_) (_) none of these (_) (o) (_) (_) (_) (_) Home My Assignments pts subs -/0. 1 -/20 5 Notes ...
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