MCQOPTIONS
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MCQOPTIONS
This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
( lim_{x rightarrow 0} frac{ax^3+b sin(x)+c cos(x)}{x^5}=1 ), then find the value of a, b and c. |
| A. | 1.37, -4.13, 4.13 |
| B. | 1.37, 4.13, -4.13 |
| C. | -1.37, 4.13, 4.13 |
| D. | 1.37, 4.13, 4.13 |
| Answer» C. -1.37, 4.13, 4.13 | |
| 2. |
If ( lim_{x rightarrow 0} frac{(x(1+acos(x))-bsin(x))}{x^3}=1 ), then find the value of a and b. |
| A. | 2.5, -1.5 |
| B. | -2.5, -1.5 |
| C. | -2.5, 1.5 |
| D. | 2.5, 1.5 |
| Answer» C. -2.5, 1.5 | |
| 3. |
Evaluate ( lim_{x rightarrow infty}(sin( frac{1}{x})+cos( frac{1}{x}))^x ) |
| A. | 1 |
| B. | e |
| C. | 0 |
| D. | e<sup>2</sup> |
| Answer» C. 0 | |
| 4. |
Value of ( frac{dSin(x)Cos(x)}{dx} ) is |
| A. | Cos(2x) |
| B. | Sin(2x) |
| C. | Cos<sup>2</sup>(2x) |
| D. | Sin<sup>2</sup>(2x) |
| Answer» B. Sin(2x) | |
| 5. |
Find domain of n for which limx 0enxCot(nx), has non zero value. |
| A. | n (0, ) (1,5) |
| B. | n (- , ) (1,5) |
| C. | n (- , ) |
| D. | n (- , ) ~ 5 |
| Answer» D. n (- , ) ~ 5 | |
| 6. |
Evaluate limx 1[(-xx + 1) / (xlog(x))]. |
| A. | e<sup>e</sup> |
| B. | e |
| C. | -1 |
| D. | e<sup>2</sup> |
| Answer» D. e<sup>2</sup> | |
| 7. |
Evaluate limx 0(1+Tan(x))Cot(x) |
| A. | 1 |
| B. | e |
| C. | ln(2) |
| D. | e<sup>2</sup> |
| Answer» C. ln(2) | |
| 8. |
The value of ( lim_{x rightarrow 1}[x]cos( frac{ pi(1-x)}{2})e^{1/(1-x)} ), [x] denotes the greatest integer function. |
| A. | 0 |
| B. | 1 |
| C. | |
| D. | - |
| Answer» B. 1 | |
| 9. |
Value of limx 0[(1+xex)/(1 Cos(x))]. |
| A. | e |
| B. | 1 |
| C. | 2 |
| D. | Can not be solved |
| Answer» D. Can not be solved | |
| 10. |
The value of limx 0 [x]Cos(x), [x] denotes the greatest integer function _______ |
| A. | lies between 0 and 1 |
| B. | lies between -1 and 0 |
| C. | lies between 0 and 2 |
| D. | lies between -2 and 0 |
| Answer» C. lies between 0 and 2 | |
| 11. |
Which of the following is a necessary Conditions of Sandwich rule? |
| A. | All function must have common domain |
| B. | All function must have common range |
| C. | All function must have common domain and range both |
| D. | Function must not have common domain and range |
| Answer» B. All function must have common range | |
| 12. |
Value of limit always be in the range of function. |
| A. | True |
| B. | False |
| Answer» C. | |
| 13. |
limx 1 (x-1)Tan( x 2) is? |
| A. | 0 |
| B. | <sup>1</sup> <sub> </sub> |
| C. | <sup>2</sup> <sub> </sub> |
| D. | <sup>2</sup> <sub> </sub> |
| Answer» D. <sup>2</sup> <sub> </sub> | |