1. \[\lim_{x\rightarrow 3}x =\] (Has Video Solution)
2. \[\lim_{x\rightarrow 5}7 =\] (Has Video Solution)
3. \[\lim_{x\rightarrow 10} 11 =\] (Has Video Solution)
4. \[\lim_{x\rightarrow 5} x =\] (Has Video Solution)
5. \[\lim_{x\rightarrow 2} x^2=\] (Has Video Solution)
6. \[\lim_{x\rightarrow 9} (x+3)=\] (Has Video Solution)
7. \[\lim_{x\rightarrow 0} x=\] (Has Video Solution)
8. \[\lim_{x\rightarrow 2} (x^2-4)=\] (Has Video Solution)
9. \[\lim_{x\rightarrow 7} \sqrt{5} =\] (Has Video Solution)
10. \[\lim_{x\rightarrow 7}x^2=\] (Has Video Solution)

1. 3 Click Here for Solution
2. 7 Click Here for Solution
3. 11 Click Here for Solution
4. 5 Click Here for Solution
5. 4 Click Here for Solution
6. 12 Click Here for Solution
7. 0 Click Here for Solution
8. 0 Click Here for Solution
9. \[\sqrt{5}\] Click Here for Solution
10. 49 Click Here for Solution

11. \[\lim_{x\rightarrow 2^-}(x^3+1)=\] (Has Video Solution)
12. \[\lim_{x\rightarrow 3^+}\frac{|x-3|}{x-3}=\] (Has Video Solution)
13. \[\lim_{x\rightarrow 0^-}\frac{1}{x}=\] (Has Video Solution)
14. \[\lim_{x\rightarrow 7^+}\frac{1}{7-x}=\] (Has Video Solution)
15. \[\lim_{x\rightarrow -1^+} \frac{1}{x^2+1}\] (Has Video Solution)
16. \[\lim_{x\rightarrow 1}\frac{x^2-1}{x-1}\] (Has Video Solution)
17. \[\lim_{x\rightarrow 3}\frac{x^2+x-12}{x^2-9}\] (Has Video Solution)
18. \[\lim_{x\rightarrow 9} (\sqrt{x}+x)\] (Has Video Solution)
19. \[\lim_{x\rightarrow 0}\frac{\sqrt{x+1}-1}{x}\] (Has Video Solution)
20. \[\lim_{x\rightarrow 0}\frac{x^2+4}{x}\] (Has Video Solution)
21. \[\lim_{x\rightarrow -2}\frac{x^2+4}{2+x}\] (Has Video Solution)
22. True or False: \[\lim_{x\rightarrow 0}\frac{1}{x}=\lim_{x\rightarrow 0}\frac{1}{x^2}\] (Has Video Solution)
23. \[\lim_{x\rightarrow 3}\frac{x^2-9}{x^2+9}\] (Has Video Solution)
24. \[\lim_{x\rightarrow 0}\frac{-17}{22x^4}\] (Has Video Solution)
25. \[\lim_{x\rightarrow 9}3\] (Has Video Solution)
26. \[\lim_{x\rightarrow 3}x^n\] (Has Video Solution)

11. 9 Click Here for Solution
12. 1 Click Here for Solution
13. \[-\infty\] Click Here for Solution
14. \[-\infty\] Click Here for Solution
15. \[\frac{1}{2}\] Click Here for Solution
16. 2 Click Here for Solution
17. \[\frac{7}{6}\] Click Here for Solution
18. 12 Click Here for Solution
19. \[\frac{1}{2}\] Click Here for Solution
20. Does not exist Click Here for Solution
21. Does not exist Click Here for Solution
22. False Click Here for Solution
23. 0 Click Here for Solution
24. \[-\infty\] Click Here for Solution
25. 3 Click Here for Solution
26. \[3^n\] Click Here for Solution

27. \[\lim_{x\rightarrow -3^-}\frac{x}{\sqrt{x^2-9}}\] (Has Video Solution)
28. \[\lim_{x\rightarrow 9^-}\frac{\sqrt{x}-3}{x-9}\] (Has Video Solution)
29. \[\lim_{x\rightarrow 10^+}\frac{|x-10|}{x-10}\] (Has Video Solution)
30. \[\lim_{x\rightarrow 5^+}\frac{x-5}{x^2-25}\] (Has Video Solution)
31. \[\lim_{x\rightarrow 2^+}\frac{2-x}{x^2-4}\] (Has Video Solution)
32. Find all values of c such that \[f(x)=\left\{\begin{matrix} 1-x^2, &x\leq c \\ & \\ x, &x > c \end{matrix}\right.\] is continuous. (Has Video Solution)
33. \[\lim_{x\rightarrow 0^-}(1+\frac{1}{x})\] (Has Video Solution)
34. \[\lim_{x\rightarrow 4}\frac{\sqrt{x}-2}{x^2-16}\] (Has Video Solution)
35. \[\lim_{x\rightarrow 0}\frac{\sqrt{6-x}-\sqrt{6}}{x}\] (Has Video Solution)
36. \[\lim_{x\rightarrow 1}\frac{\sqrt{10-x}-\sqrt{9}}{x-1}\] (Has Video Solution)
37. \[\lim_{x\rightarrow 2}\frac{x-2}{x^2+4}\] (Has Video Solution)
38. \[\lim_{x\rightarrow \sqrt{3}}\frac{x-\sqrt{3}}{x^2-3}\] (Has Video Solution)
39. \[\lim_{h\rightarrow 0}\frac{(x+h)^2-x^2}{h}\] (Has Video Solution)
40. \[\lim_{x\rightarrow 2}\frac{(x^2+9)-13}{x-2}\] (Has Video Solution)
41. \[\lim_{h\rightarrow 0}\frac{2(x+h)^2-2x^2}{h}\] (Has Video Solution)
42. \[\lim_{x\rightarrow 6}(x-2)^2\] (Has Video Solution)
43. \[\lim_{t\rightarrow -2}\frac{t+2}{t^2-4}\] (Has Video Solution)
44. \[\lim_{x\rightarrow 0}\frac{\frac{4}{x+2}-2}{x}\] (Has Video Solution)
45. \[\lim_{x\rightarrow 0}\frac{4(\sqrt{x+2}-\sqrt{2})}{x}\] (Has Video Solution)
46. \[\lim_{h\rightarrow 0}\frac{7(x+h)^3-7x^3}{h}\] (Has Video Solution)

27. \[-\infty\] Click Here for Solution
28. \[\frac{1}{6}\] Click Here for Solution
29. 1 Click Here for Solution
30. 0.1 Click Here for Solution
31. \[-\frac{1}{4}\] Click Here for Solution
32. \[c=\frac{-1\pm \sqrt{5}}{2}\] Click Here for Solution
33. \[-\infty\] Click Here for Solution
34. \[\frac{1}{32}\] Click Here for Solution
35. \[\frac{-1}{2\sqrt{6}}\] Click Here for Solution
36. \[-\frac{1}{6}\] Click Here for Solution
37. 0 Click Here for Solution
38. \[\frac{1}{2\sqrt{3}}\] Click Here for Solution
39. 2x Click Here for Solution
40. 4 Click Here for Solution
41. 4x Click Here for Solution
42. 16 Click Here for Solution
43. \[-\frac{1}{4}\] Click Here for Solution
44. -1 Click Here for Solution
45. \[\sqrt{2}\] Click Here for Solution
46. \[21x^2\] Click Here for Solution

47. True or False: If \[\lim_{x\rightarrow c}f(x)=f(c)\] then \[f(x)\] is continuous at \[x=c\]. (Has Video Solution)
48. \[\lim_{x\rightarrow b}a\] (Has Video Solution)
49. \[\lim_{h\rightarrow 0}\frac{(x+h)^n-x^n}{h}\] where \[n\neq 0\] and \[n\] is an integer (Has Video Solution)
50. True or False: \[\lim_{x\rightarrow 0}\frac{1}{x^n}\] is the same for all n if n is any nonzero even number. (Has Video Solution)
51. \[\lim_{x\rightarrow 0}\frac{\sqrt{a-x}-\sqrt{a}}{x}\] (Has Video Solution)

47. True Click Here for Solution
48. a Click Here for Solution
49. \[nx^{n-1}\] Click Here for Solution
50. False Click Here for Solution
51. \[\frac{-1}{2\sqrt{a}}\] Click Here for Solution