MCQOPTIONS
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MCQOPTIONS
This section includes 9 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. |
Evaluate ( lim_{x rightarrow infty} left [ frac{x-1}{x-2} right ]^x ). |
| A. | <sup>1</sup> <sub>4</sub> |
| B. | <sup>1</sup> <sub>3</sub> |
| C. | <sup>1</sup> <sub>2</sub> |
| D. | 1 |
| Answer» D. 1 | |
| 2. |
Find the value of limx 0 (Sin(2x))Tan2 (2x)? |
| A. | e<sup>0.5</sup> |
| B. | e<sup>-0.5</sup> |
| C. | e<sup>-1</sup> |
| D. | e |
| Answer» C. e<sup>-1</sup> | |
| 3. |
Find n for which ( lim_{x rightarrow 0} frac{(cos(x)-1)(cos(x)-e^x)}{x^n} ), has non zero value. |
| A. | >=1 |
| B. | >=2 |
| C. | <=2 |
| D. | ~2 |
| Answer» C. <=2 | |
| 4. |
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> | |
| 5. |
(ln(lim_{x rightarrow infty} frac{f(x)}{g(x)})= lim_{x rightarrow infty}ln(f(x))+ lim_{x rightarrow infty}ln(g(x)) ) |
| A. | True |
| B. | False |
| Answer» C. | |
| 6. |
( lim_{x rightarrow infty}f(x)^{g(x)}= lim_{x rightarrow infty}f(x)^{ lim_{x rightarrow infty}g(x)} ) |
| A. | True |
| B. | False |
| Answer» B. False | |
| 7. |
Value of limx 0 (1+cot(x))sin(x) |
| A. | e |
| B. | e<sup>2</sup> |
| C. | <sup>1</sup> <sub>e</sub> |
| D. | Can not be solved |
| Answer» B. e<sup>2</sup> | |
| 8. |
Value of limx 0 (1+Sin(x))Cosec(x) |
| A. | e |
| B. | 0 |
| C. | 1 |
| D. | |
| Answer» B. 0 | |
| 9. |
( lim_{x rightarrow 0} frac{x^2 Sin(x) e^{x^2}}{Cos (x+ /2)} ) is |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |