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Math 222Exam 2Fall 2010Name:Select your discussion section341TR 7:45–8:35Daniel Ross345TR 11:00–11:50342TR 8:50-9:40Achilles Beros350TR 14:25–15:15343TR 8:50-9:40Yun Su344TR 9:55–10:45346TR 12:05–12:55Yongtao Cheng347TR 13:20–14:10348TR 13:20–14:10Lei Li349TR 14:25–15:15•You maynotuse a calculator, notes or books.•Show your work and write clearly.•Check your answers wherever possible.•Good Luck!QuestionPointsScore116218316410524616Total:100
Math 222: Exam 21.(a) [8 points] Find the first four terms of the Taylor series forf(x) =3√xcentered atx= 1.Page 2
Math 222: Exam 2(b) [8 points] Find a power series forf(x) =Rx0et3dt.Page 3
Math 222: Exam 22. Consider the power series∞Xn=2(2x-1)nlnn.(a) [6 points] What is the radius of convergence?(b) [2 points] What is the center of convergence?Page 4