Limits and Continuity MCQ Test: Limits and Continuity MCQs - Practice Questions
1. What is the limit of the function f(x) = sin(x)/x as x approaches 0?
2. What is the limit of the function f(x) = ln(x) as x approaches 0 from the right?
3. Which type of function has a limit as x approaches infinity equal to zero?
4. What is the limit of a constant function as x approaches any value?
5. What is the limit of the function f(x) = 1/sin(x) as x approaches 0?
6. For which value of x is the function f(x) = (x^2 - 1)/(x - 1) not defined?
7. What is the limit of a polynomial function as x approaches infinity?
8. What is the limit of the function f(x) = sqrt(x) as x approaches 0 from the right?
9. What is the limit of the function f(x) = e^(1/x) as x approaches 0?
10. In calculus, what does the term 'indeterminate form' refer to?
11. What is the limit of the function f(x) = (1 - e^(-x))/x as x approaches infinity?
12. For which value of x is the function f(x) = tan(x) not defined?
13. Which rule is applied to evaluate the limit of a function containing exponentials?
14. What is the limit of the function f(x) = (sin(x))/x as x approaches 0?
15. Which concept is used to define the instantaneous rate of change of a function at a point?
16. Which rule is applied to evaluate the limit of a function involving radicals?
17. In calculus, what is the definition of a removable discontinuity?
18. Which theorem is used to find limits involving indeterminate forms like 0/0 or infinity/infinity?
19. What is the limit of the function f(x) = cos(1/x) as x approaches 0?
20. For which value of x is the function f(x) = 1/x not defined?
21. For which value of x is the function f(x) = sin(x)/x continuous?
22. What type of discontinuity occurs when a function approaches different values from the left and right?
23. In calculus, what does the term 'asymptote' refer to?
24. In calculus, what does the term 'continuity' refer to?
25. Which rule is applied to evaluate the limit of a function containing radicals?
26. For which value of x is the function f(x) = 1/x continuous?
27. In calculus, what is the definition of continuity on an open interval?
28. In calculus, what does the term 'removable discontinuity' indicate?
29. What is the limit of the function f(x) = (x^3 - 2x^2 + 4)/(x^2 - 4x + 4) as x approaches 2?
30. Which type of limit involves the behavior of a function as x approaches a specific point?
31. Which rule is used to find limits of rational functions?
32. In calculus, what is the condition for a function to be continuous at a specific point?
33. What is the limit of the function f(x) = 1/x as x approaches 0 from the left?
34. In continuity, what condition must a function satisfy at a point?
35. What is the limit of the function f(x) = 1/x as x approaches 0 from the right?
36. What is the limit of the function f(x) = (e^x - 1)/x as x approaches 0?
37. What is the limit of the function f(x) = 1/x as x approaches 1?
38. Which theorem states that if a function is continuous on a closed interval, then it attains its maximum and minimum values?
39. What is the limit of the function f(x) = e^x as x approaches infinity?
40. What is the limit of the function f(x) = 1/x as x approaches negative infinity?