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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. |
Find \(lt_{(x,y)\rightarrow(0,0)}\frac{sinh(x)\times sinh(y)}{xy}\) |
A. | 1 |
B. | ∞ |
C. | 0 |
D. | 990 |
Answer» B. ∞ | |
2. |
Find \(=lt_{(x,y)\rightarrow (0,0)}\frac{tan(y)}{x}\) |
A. | ∞ |
B. | 1 |
C. | 1⁄2 |
D. | Does Not Exist |
Answer» E. | |
3. |
Find \(lt_{(x,y)\rightarrow (0,0)}\frac{y^7x^{98}-x^{97}y^8+x^{105}}{xy^7+x^8}\) |
A. | Does Not Exist |
B. | 0 |
C. | 1 |
D. | ∞ |
Answer» C. 1 | |
4. |
Find \(lt_{(x,y)\rightarrow(0,0)}\frac{x^3+3xy^2-xy^2}{x^2+xy}\) |
A. | 0 |
B. | ∞ |
C. | 1 |
D. | -1 |
Answer» B. ∞ | |
5. |
Find \(lt_{(x,y)\rightarrow(0,1)}\frac{x+y-1}{\sqrt{x+y}-1}\) |
A. | 9 |
B. | 0 |
C. | 6 |
D. | 2 |
Answer» E. | |
6. |
Find \(lt_{(x,y)\rightarrow(0,0)}\frac{x^3-y^3}{(x-y)}\) |
A. | -1⁄2 |
B. | 0 |
C. | ∞ |
D. | -90 |
Answer» C. ∞ | |
7. |
Find \(lt_{(x,y)\rightarrow(0,0)}\frac{sec(y).sin(x)}{x}\) |
A. | ∞ |
B. | 1⁄2 |
C. | 1 |
D. | 1⁄3 |
Answer» D. 1⁄3 | |
8. |
Find \(lt_{(x,y)\rightarrow(0,0)}\frac{y^6}{x^{10}y^2+x^{15}}\) |
A. | 0 |
B. | 1 |
C. | Does Not exist |
D. | ∞ |
Answer» D. ∞ | |
9. |
Find \(lt_{(x,y)\rightarrow(0,0)}\frac{121.x^{-5}.y^{\frac{13}{3}}}{y+(x)\frac{3}{2}}\) |
A. | ∞ |
B. | 0 |
C. | Does Not Exist |
D. | 121 |
Answer» D. 121 | |