MATH 262 Midterm: MATH 262 Midterm 3 Fall 2018

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2x 3 (x 2)(x 3) in partial fractions. (ii) (5 points) determine explicitly the coef cient of x n in the power series expansion of. 2x 3 (x 2)(x 3) 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. 2 + 3n)x n and indicate the interval of (ii) (3 points) find explicitly the sum of the numerical series.