1. If [latex]f[\/latex] is a polynomial function, the limit of a polynomial function as [latex]x[\/latex] approaches [latex]a[\/latex] will always be [latex]f\\left(a\\right)[\/latex].<\/p>\n
3. It could mean either (1) the values of the function increase or decrease without bound as [latex]x[\/latex] approaches [latex]c[\/latex], or (2) the left and right-hand limits are not equal.<\/p>\n
5. [latex]\\frac{-10}{3}[\/latex]<\/p>\n
7. 6<\/p>\n
9. [latex]\\frac{1}{2}[\/latex]<\/p>\n
11. 6<\/p>\n
13. does not exist<\/p>\n
15. [latex]-12[\/latex]<\/p>\n
17. [latex]-\\frac{\\sqrt{5}}{10}[\/latex]<\/p>\n
19. [latex]-108[\/latex]<\/p>\n
21. 1<\/p>\n
23. 6<\/p>\n
25. 1<\/p>\n
27. 1<\/p>\n
29. does not exist<\/p>\n
31. [latex]6+\\sqrt{5}[\/latex]<\/p>\n
33. [latex]\\frac{3}{5}[\/latex]<\/p>\n
35. 0<\/p>\n
37. [latex]-3[\/latex]<\/p>\n
39. does not exist; right-hand limit is not the same as the left-hand limit.<\/p>\n
41. Limit does not exist; limit approaches infinity.<\/p>\n
43. [latex]4x+2h[\/latex]<\/p>\n
45. [latex]2x+h+4[\/latex]<\/p>\n
47. [latex]\\frac{\\cos \\left(x+h\\right)-\\cos \\left(x\\right)}{h}[\/latex]<\/p>\n
49. [latex]\\frac{-1}{x\\left(x+h\\right)}[\/latex]<\/p>\n
51. [latex]\\frac{-1}{\\sqrt{x+h}+\\sqrt{x}}[\/latex]<\/p>\n
53. [latex]f\\left(x\\right)=\\frac{{x}^{2}+5x+6}{x+3}[\/latex]<\/p>\n
55. does not exist<\/p>\n
57. 52<\/p>\n\n\t\t\t Candela Citations<\/h3>\n\t\t\t\t\t