MATH 151 QUIZ 9 FALL, 2010Remember to keep your work neat and orderly. Show all of your work. NO WORK = NO CREDIT! Read each question carefully and be sure to answer the question that was asked. Good luck!Name:____________________________________________________________ pts1. For what values of x does the series nnnnxn4)3()1(171 converge? Don’t forget to check the endpoints! 72. Compute (do not use a known series) the (infinite) Taylor series about x = 3 generated by the function 62)(xexf. Be sure to find an expression for the nth term! 7Turn over for 3 and 4.3. Find the 3 rd -degree Taylor polynomial about 1x generated by the function xxxf213)(264. Assume the power series for )(xf converges for 6x and starts with the terms...6432)(432 xxxxxf. Assume the power series for )(xg converges for 4x and starts with the terms ...5321)(432 xxxxxg.a. Find the first four terms (thru 3x) of the power series for ).()( xgxf4b. For what values of x will the infinite power series for )()( xgxfconverge?
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