MCQOPTIONS
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MCQOPTIONS
This section includes 11 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. | an ⁄ bn |
| B. | ∞ |
| C. | No general form |
| D. | bn ⁄ an |
| 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. | -4⁄5 |
| 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. | 1⁄a + 1 |
| 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. | 1⁄a |
| Answer» C. 3ln(2) | |
| 8. |
Find \(lt_{x\rightarrow -2}(\frac{sin((x-2)^2)}{(x+2)^2})\) |
| A. | 1 |
| B. | 0 |
| C. | ∞ |
| D. | 0⁄0 |
| Answer» B. 0 | |
| 9. |
Find ltn → ∞\(\sum_{a=0}^{n-1}\frac{sin(\frac{a}{n})}{n}\) |
| A. | 1⁄a |
| B. | 1 |
| C. | 1 – cos(1) |
| D. | 0 |
| Answer» D. 0 | |
| 10. |
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. | – 1⁄35 |
| Answer» E. | |
| 11. |
Find ltx → ∞\((1+\frac{1}{x^2+2x+1})^{x^2+3x+1}\) |
| A. | e |
| B. | 1 |
| C. | e2 |
| D. | 1⁄e |
| Answer» B. 1 | |