MA 126 Midterm: 2-11s-test4
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Show all your work and give reasons for your answers. In case of convergence of series state absolutely convergent, conditionally convergent, or divergent. All problems in part i are 7 points (1) test the series for convergence (you must justify your answer). P n=1(cid:0) 1 (2) test the series for convergence (you must justify your answer). P n=2 n2+1 n 1 . (3) test the series for convergence (you must justify your answer). N . (4) test the series for convergence (you must justify your answer). 2 (5) find the power series representation of the function f (x) = x. Also state the interval of convergence! (6) use power series to approximate the value of sin(1/10) with an error less than 10 6. (7) find the power series representation of the function f (x) = e(x3). [you may use the power series for ex. ]
