1. If f is a polynomial function, the limit of a polynomial function as x approaches a will always be f(a).
3. It could mean either (1) the values of the function increase or decrease without bound as x approaches c, or (2) the left and right-hand limits are not equal.
5. 3−10
7. 6
9. 21
11. 6
13. does not exist
15. −12
17. −105
19. −108
21. 1
23. 6
25. 1
27. 1
29. does not exist
31. 6+5
33. 53
35. 0
37. −3
39. does not exist; right-hand limit is not the same as the left-hand limit.
41. Limit does not exist; limit approaches infinity.
43. 4x+2h
45. 2x+h+4
47. hcos(x+h)−cos(x)
49. x(x+h)−1
51. x+h+x−1
53. f(x)=x+3x2+5x+6
55. does not exist
57. 52