Berkeley
MATH 1B -
Section 107 Quiz
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Math 1B Section 107 Quiz 9 Thursday 25 October 2007 GSI Theo Johnson Freyd http math berkeley edu theojf Name 1 3 pts Write X xn 1 1 x x2 x3 x4 x5 n2 n 2 6 12 20 30 42 n 1 in terms of elementary functions Hint Partial fractions For what values of x is your solution justified 1 2 3 pts Find the Taylor series expansion of cos x centered at c 2 What is the interval of convergence for this series 2 3 4 pts For the following power series a find the general nth term i e write it as P n 0 something b find the radius of convergence c check whether the series converges at the endpoints so that you can determine for which x the series converges absolutely converges conditionally diverges 1 2x 3x2 4x3 5x4 6x5 4 9 16 25 36 49 3
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