Limits and Continuity MCQ Test: Limits and Continuity MCQs - Practice Questions
1. What is the limit of the function f(x) = e^x as x approaches infinity?
2. Which property allows you to factor out constants when finding limits?
3. What is the limit of the function f(x) = (x^3 - 2x^2 + 4)/(x^2 - 4x + 4) as x approaches 2?
4. For which value of x is the function f(x) = sin(x)/x continuous?
5. What is the definition of a limit in calculus?
6. What is the limit of the function f(x) = 1/sin(x) as x approaches 0?
7. What is the limit of the function f(x) = tan(x) as x approaches pi/2?
8. What condition must a function satisfy to be continuous at a point?
9. What is the limit of the function f(x) = (1 - e^(-x))/x as x approaches infinity?
10. In calculus, what does the term 'indeterminate form' refer to?
11. What is the limit of the function f(x) = ln(1 + x) as x approaches 0?
12. What is the limit of the function f(x) = (sin(x))/x as x approaches 0?
13. What is the limit of the function f(x) = cos(1/x) as x approaches 0?
14. What is the limit of the function f(x) = e^(1/x) as x approaches 0 from the left?
15. In calculus, what is the definition of a removable discontinuity?
16. In calculus, what is the definition of continuity on an open interval?
17. What is the limit of the function f(x) = sqrt(x) as x approaches 0 from the right?
18. In calculus, what does the term 'continuity' refer to?
19. What is the limit of the function f(x) = 1/x as x approaches negative infinity?
20. For which value of x is the function f(x) = 1/x continuous?