MCQOPTIONS
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MCQOPTIONS
This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
limx a -f(x)=f(b) then f(x) is left continuous at x = a. |
| A. | False |
| B. | True |
| Answer» C. | |
| 2. |
limx a+ f(x)=f(a) then f(x) is right continuous at x = a. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
What is/are conditions for a function to be continuous on (a,b)? |
| A. | The function is continuous at each point of (a,b) |
| B. | The function is right continuous |
| C. | The function is left continuous |
| D. | Right continuous, left continuous, continuous at each point of (a,b) |
| Answer» E. | |
| 4. |
What are the kinds of discontinuity? |
| A. | Minor and major kinds |
| B. | Increment and decrement kinds |
| C. | First and second kinds |
| D. | Zero and one kinds |
| Answer» D. Zero and one kinds | |
| 5. |
f(x) = c x R is continuous on R for a fixed c R. |
| A. | False |
| B. | True |
| Answer» C. | |
| 6. |
What is the mathematical expression for f is left continuous on (a,b)? |
| A. | lim<sub>x a- u2061</sub>f(x)=f(a) |
| B. | lim<sub>x b- u2061</sub>f(x)=f(b) |
| C. | lim<sub>x a+ u2061</sub>f(x)=f(b) |
| D. | lim<sub>x b+ u2061</sub>f(x)=f(b) |
| Answer» C. lim<sub>x a+ u2061</sub>f(x)=f(b) | |
| 7. |
What is the mathematical expression for f is right continuous on (a,b)? |
| A. | lim<sub>x a+ u2061</sub>f(x)=f(a) |
| B. | lim<sub>x a+ u2061</sub>f(x)=f(b) |
| C. | lim<sub>x b+ u2061</sub>f(x)=f(a) |
| D. | lim<sub>x a- u2061</sub>f(x)=f(a) |
| Answer» B. lim<sub>x a+ u2061</sub>f(x)=f(b) | |
| 8. |
What is the mathematical expression for f is continuous on (a,b)? |
| A. | lim<sub>x c u2061</sub>f(x) = f(c) c a |
| B. | lim<sub>x c u2061</sub>f(x) = f(c) c (a,b) |
| C. | lim<sub>x c u2061</sub>f(x) = f(c) c b |
| D. | lim<sub>x a u2061</sub>f(x) = f(c) c (a,b) |
| Answer» C. lim<sub>x c u2061</sub>f(x) = f(c) c b | |
| 9. |
What is the mathematical expression for the definition of continuity? |
| A. | lim<sub>x c u2061</sub>f(x) = f(c) c a |
| B. | lim<sub>x c u2061</sub>f(x) = f(c) c (a,b) |
| C. | lim<sub>x c u2061</sub>f(x) = f(c) c b |
| D. | lim<sub>x a u2061</sub>f(x) = f(c) c (a,b) |
| Answer» C. lim<sub>x c u2061</sub>f(x) = f(c) c b | |