please do 10, 12, 14, 15, 30

Note: Be sure to check whether L'Hopital's Rule applies before using it!!!! If you don't the graders will take off points!

Problems 28. lim In x In Exercises 9 - 54, evaluate the given limit. x -+Do X 9. lim x + x - 2 29. lim In (x ) x -+1 x - 1 * -+0O X x + x - 6 10. lim In x) x-+2 X2 - 7x + 10 30. lim X -+ DO X sin x 11. lim 31. lim x . Inx X- T X- T x -+ of 12. lim sin x - COS X 32. lim vx . Inx x -+ ot X-+ 71 / 4 COs(2X) 13. lim sin (5x) 33. lim xel/x x -+ 0 X 34. lim x3 - x2 14. lim sin (2x) x -+ 0O x-+0 x+2 35. lim Vx - Inx * - 0O 15. lim - sin(2x) x-+0 sin (3x) 36. lim xe* * - - 0O 16. lim- sin(ax) x-+0 sin(bx) 37. lim 1 -1/x x -+ 0+ x2 17. lim e - 1 38. lim (1 + x) 1/x x -+ o+ x2 339