MATH 262 Midterm: MATH 262 Midterm 1 Fall 2018
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3x 1 (x + 3)(x 2) in partial fractions. (ii) (5 points) determine explicitly the coef cient of x n in the power series expansion of. 3x 1 (x + 3)(x 2) about x = 0. (iii) (3 points) find the radius of convergence of the expansion. Either use the ratio test or explain your reasoning. 2. (i) (7 points) find explicitly the sum of the power series convergence. 2n)x n and indicate the interval of (ii) (3 points) find explicitly the sum of the numerical series.