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Unformatted text preview: 1 ! n n e n converges or diverges. (15 pts) 6. Use the n-th Root Test to determine whether the series 2 1 (2 ) n n n n converges or diverges. (15 pts) 7. Find the Taylor series of 2 1 ) ( x x f at 1 x . Make sure you include the th n- term of the series. (15 pts) 8. Find the radius of convergence around x = 1/2 and the interval of convergence for the power series: 1 ) 2 1 ( 3 k k k x k . (10 pts)...
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