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