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(10.08 HC) x2 The function h is defined by the power series h(x)= x + + x3 x 5 00 ++ +... = Σ 5 7 9 XP+1 no 2n+1 3 Part
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(10.08 HC) x2 The function h is defined by the power series h(x)= x + + x3 x 5 00 ++ +... = Σ 5 7 9 XP+1 no 2n+1 3 Part
(10.08 HC) x2 The function h is defined by the power series h(x)= x + + x3 x 5 00 ++ +... = Σ 5 7 9 XP+1 no 2n+1 3 Part A: Determine the interval of convergence of the power series for h. (10 points) Part B: Find h'l-1) and determine if the new series converges or diverges. Justify your response and discuss the relationship between the radius of convergence and interval of convergence of h(x) and h 'x). (10 points) Part C: Determine if the power series h(x) has any points of inflection. Justify your answer. (10 points)
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