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. |
Find (lt_{n rightarrow infty}(1+ frac{1}{n})^n ) |
| A. | e |
| B. | e 1 |
| C. | 0 |
| D. | |
| Answer» B. e 1 | |
| 2. |
Find (lt_{p rightarrow infty} frac{p^{ frac{1}{2}}.p!}{ frac{1}{2}. frac{3}{2} (p+ frac{1}{2})} ) |
| A. | |
| B. | |
| C. | <sup> </sup> <sub>2</sub> |
| D. | 0 |
| Answer» D. 0 | |
| 3. |
Find (lt_{x rightarrow -33} frac{ln(x^3+68x^2+1222x+2179)-ln(x+1)}{(x^2+66x+1089)} ) |
| A. | -33 |
| B. | <sup>1</sup> <sub>2</sub> |
| C. | 0 |
| D. | <sup>31</sup> <sub>32</sub> |
| Answer» E. | |
| 4. |
Find (lt_{x rightarrow 0} frac{sin(x^2)}{x} ) |
| A. | |
| B. | -1 |
| C. | 0 |
| D. | 2<sup>2</sup> |
| Answer» D. 2<sup>2</sup> | |
| 5. |
Let f on (f(x)) denote the composition of f(x) with itself n number of times then the value of ltn f on (sin(x)) = |
| A. | -1 |
| B. | 2 |
| C. | |
| D. | 0 |
| Answer» E. | |
| 6. |
Find (lt_{x rightarrow 1012345}( frac{[sinh(x)]^2-[cosh(x)]^2}{[sinh(x)]^2+[cosh(x)]^2}) ) |
| A. | <sup>1</sup> <sub>cosh(1012345)</sub> |
| B. | 90987 |
| C. | 1012345 |
| D. | |
| Answer» B. 90987 | |
| 7. |
Find (=lt_{x rightarrow 0} frac{sin(x)}{tan(x)} ) |
| A. | 0 |
| B. | 1 |
| C. | |
| D. | 2 |
| Answer» C. | |
| 8. |
Find (lt_{p rightarrow infty} frac{p^5.p!}{5.6 (5+p)} ) |
| A. | 4! |
| B. | 5! |
| C. | 0 |
| D. | |
| Answer» B. 5! | |
| 9. |
Find how many rounds of differentiation are required to have finite limit for (lt_{x rightarrow 0} frac{cos(ax)+cos(bx)-2cos(cx)}{cos(ax)+2cos(bx)-3cos(cx)} ) given that a b c |
| A. | 3 |
| B. | 0 |
| C. | 2 |
| D. | 4 |
| Answer» D. 4 | |
| 10. |
Find (lt_{x rightarrow 0} frac{2cos(2x)+3cos(5x)-5cos(19x)}{cos(4x)-cos(3x)} ) |
| A. | -76 |
| B. | -6 |
| C. | -7 |
| D. | 0 |
| Answer» B. -6 | |
| 11. |
Find relation between a and b such that the following limit is got after a single application of L hospitals Rule (lt_{x rightarrow 0} frac{ae^x+be^{2x}}{be^x+ae^{2x}} ) |
| A. | <sup>b</sup> <sub>a</sub> = 2 |
| B. | <sup>a</sup> <sub>b</sub> = 2 |
| C. | a = b |
| D. | a = -b |
| Answer» E. | |
| 12. |
Find (lt_{x rightarrow 0} frac{(3e^x-2e^{2x}-e^{3x})}{(e^x+e^{2x}-2e^{3x})} ) |
| A. | <sup>3</sup> <sub>2</sub> |
| B. | 0 |
| C. | <sup>4</sup> <sub>3</sub> |
| D. | <sup>4</sup> <sub>3</sub> |
| Answer» D. <sup>4</sup> <sub>3</sub> | |
| 13. |
Find (lt_{x rightarrow -2} frac{sin( frac{1+( frac{(x+2)^2(x^2+1)}{x^3+3})}{x+2})}{(x+2)} ) |
| A. | |
| B. | 0 |
| C. | 2 |
| D. | - |
| Answer» D. - | |