MCQOPTIONS
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MCQOPTIONS
This section includes 14 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. |
Find (=lt_{x rightarrow 0} frac{(a_nx^n+a_{n-1}x^{n-1}+ +a_1x+a_0)}{(b_nx^n+b_{n-1}x^{n-1}+ +b_1x+b_0)} ) |
| A. | <sup>a<sub>n</sub></sup> <sub>b<sub>n</sub></sub> |
| B. | |
| C. | No general form |
| D. | <sup>b<sub>n</sub></sup> <sub>a<sub>n</sub></sub> |
| Answer» B. | |
| 2. |
Find (lt_{x rightarrow 0} frac{sin(sin(x))}{x} ) |
| A. | 1 |
| B. | |
| C. | 0 |
| D. | -1 |
| Answer» B. | |
| 3. |
Find (lt_{x rightarrow 0} frac{sin((4x^3)tan^{-1}(x))}{x^4} ) |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 3 |
| Answer» D. 3 | |
| 4. |
Find (lt_{x rightarrow -5}( frac{tan^{-1}(x^2+6x+5)}{x^2+15x+50}) ) |
| A. | 0 |
| B. | 1 |
| C. | <sup>-4</sup> <sub>5</sub> |
| D. | -1 |
| Answer» D. -1 | |
| 5. |
Find (lt_{x rightarrow -101}( frac{ln(x^2+20x+(x+101)^2(x^2+3))-ln(x^2+20x)}{x^2+202x+10201}) ). |
| A. | 0 |
| B. | 1 |
| C. | |
| D. | (= frac{10204}{12221} ) |
| Answer» E. | |
| 6. |
Find (lt_{n rightarrow infty} frac{(1^a+2^a+ +(n-1)^a)}{n^{a+1}} ) |
| A. | 1 |
| B. | <sup>1</sup> <sub>a + 1</sub> |
| C. | 0 |
| D. | Undefined |
| Answer» C. 0 | |
| 7. |
Find (lt_{n rightarrow infty} sum_{a=1}^{n-1}( frac{ln(1+ frac{a}{n})}{n}) ) |
| A. | ln(2) |
| B. | ln(4) |
| C. | 3ln(2) |
| D. | <sup>1</sup> <sub>a</sub> |
| Answer» C. 3ln(2) | |
| 8. |
Find (lt_{x rightarrow -2}( frac{sin((x-2)^2)}{(x+2)^2}) ) |
| A. | 1 |
| B. | 0 |
| C. | |
| D. | <sup>0</sup> <sub>0</sub> |
| Answer» B. 0 | |
| 9. |
Find (lt_{x rightarrow infty}(( frac{x^3+x^2+x}{x^3+x+1})^{x+3}) ) |
| A. | e |
| B. | e<sup>-1</sup> |
| C. | 0 |
| D. | 1 |
| Answer» B. e<sup>-1</sup> | |
| 10. |
Find (lt_{x rightarrow 0}( frac{1}{sin^2(x)}) ) |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | Undefined |
| Answer» E. | |
| 11. |
Find ltx 0 (( frac{ln(1+x^4)}{x}) ) |
| A. | 1 |
| B. | -1 |
| C. | 0 |
| D. | Undefined |
| Answer» D. Undefined | |
| 12. |
Find ltn ( sum_{a=0}^{n-1} frac{sin( frac{a}{n})}{n} ) |
| A. | <sup>1</sup> <sub>a</sub> |
| B. | 1 |
| C. | 1 cos(1) |
| D. | 0 |
| Answer» D. 0 | |
| 13. |
Find lt x (( frac{ln(1+ frac{(x+3)^3(2x+9)}{(4x^3+3)})}{x^3+3x^2+9x+27}) ) |
| A. | 0 |
| B. | 1 |
| C. | Undefined |
| D. | <sup>1</sup> <sub>35</sub> |
| Answer» E. | |
| 14. |
Find ltx ((1+ frac{1}{x^2+2x+1})^{x^2+3x+1} ) |
| A. | e |
| B. | 1 |
| C. | e<sup>2</sup> |
| D. | <sup>1</sup> <sub>e</sub> |
| Answer» B. 1 | |