MATH 1B Study Guide - Midterm Guide: Partial Fraction Decomposition, Alternating Series Test, Conditional Convergence
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Ucb math 1b, fall 2009: midterm 2, solutions. 03 mw 10am - 11am 75 evans: cristofaro-gardiner. 04 mw 10am - 11am 3113 etcheverry e. kim. Tt 11:30am - 2pm 230c stephens: martirosyan. Indicate clearly where to nd your answers: (5 points) find the interval of convergence, including determination of the convergence at the end points, for the power series below. 9 xn+1 (n + 1) 9n+1 . 9 n 9n xn n n + 1 |x| 9 as n x = 9 : an = x = 9 : an = ( 1)n n. 2: (5 points) show that the series y = 1 3 5 (2n + 1) is a solution of the di erential equation y = 1 + xy. 1 3 5 (2n 1) 1 3 5 (2n + 1) x2n+2. 3: determine if the series below are absolutely convergent (ac), condition- ally convergent (cc), or divergent (d), (5 points)
