MATH 151 QUIZ 9 FALL 2010 Remember 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 pts n 1 n x 3 1 For what values of x does the series 1 n 1 converge Don t forget to check the 4n n 7 endpoints 7 2 Compute do not use a known series the infinite Taylor series about x 3 generated by the function f x e 2 x 6 Be sure to find an expression for the nth term 7 Turn over for 3 and 4 3 Find the 3rd degree Taylor polynomial about x 1 generated by the function f x 3 x 2 1 2x 6 4 Assume the power series for f x converges for x 6 and starts with the terms f x 2 3 x 4 x 2 x 3 6 x 4 Assume the power series for g x converges for starts with the terms g x 1 2 x 3x 2 x 3 5 x 4 a Find the first four terms thru x 3 of the power series for f x g x b For what values of x will the infinite power series for f x g x converge x 4 and 4 1
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