10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. m For the series 2 a\

10. 11. 12. if = , then 11m 13. 14. 15. 16. 17. 19. 20. For the series For the series For the series For the series lim n then the series converges absolutely. 1, then the series diverges. N, then the series diverges. or divergence of the series. For the series 275095 or divergence of the series. = 1 so the Ratio Test fails to determine convergence , then lim 1 so the Ratio Test fails to determine convergence Given a power series anxn, the set I = {a: R an:rn converges at x} is never empty. The power series always converges at a: = 0. The power series has radius of convergence R = 1. The power series has interval of convergence (2, 2). If the power series converges at = 4, then it converges absolutely at a: If the power series anxn converges at = 4, then it converges at a: Part 2: Multiple Choice: Choose the best answer. (1 mark each) 21. (Review) Consider the integral J 'x dx. Which of the following trigonometric substitutions should be used to evaluate this integral? a: = coso a. b. x = sin 9 . x = tan 0 d. x = sec e. None of the above