MCQOPTIONS
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MCQOPTIONS
This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the value of \(\lim\limits_{x \rightarrow 0}\frac{e^x(sin^2 x)}{x^3}\)? |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 0 |
| Answer» D. 0 | |
| 2. |
What is the value of the limit \(\lim\limits_{x \rightarrow 0}\frac{sin^2x}{x^2}\)? |
| A. | 2 |
| B. | 1 |
| C. | Limit does not exist |
| D. | 4 |
| Answer» C. Limit does not exist | |
| 3. |
What is the value of the limit \(\lim\limits_{x \rightarrow \frac{\pi}{2}}\frac{sin^2x-1}{cos x}\)? |
| A. | 0 |
| B. | 4 |
| C. | 1 |
| D. | Limit does not exist |
| Answer» B. 4 | |
| 4. |
What is the value of the \(\lim\limits_{x \rightarrow \frac{3\pi}{2}}\frac{cos x sin x}{sin2x}\)? |
| A. | \(\frac{-1}{2}\) |
| B. | \(\frac{1}{2}\) |
| C. | \(\frac{1}{4}\) |
| D. | \(\frac{-1}{4}\) |
| Answer» C. \(\frac{1}{4}\) | |
| 5. |
What is the value of the limit f(x) = \(\frac{sin^2x+\sqrt 2 sin x}{x^2-4x}\) if x approaches 0? |
| A. | \(\frac{1}{\sqrt 2}\) |
| B. | \(\frac{-1}{\sqrt 2}\) |
| C. | \(\frac{-1}{2\sqrt 2}\) |
| D. | \(\frac{1}{2\sqrt 2}\) |
| Answer» D. \(\frac{1}{2\sqrt 2}\) | |
| 6. |
What is the value of \(\lim\limits_{y \rightarrow 0}\)(32 x2 cosec2 4x)? |
| A. | 1 |
| B. | 4 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 7. |
What is the value of \(\lim\limits_{x \rightarrow \infty}\frac{x sin\frac{2}{x}}{2}\)? |
| A. | 1 |
| B. | 2 |
| C. | \(\frac{1}{2}\) |
| D. | Limit does not exist |
| Answer» B. 2 | |
| 8. |
What is the value of \(\lim\limits_{x \rightarrow 0}\frac{x \,tanx}{cot\, x}\)? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | \(\frac{1}{2}\) |
| Answer» B. 1 | |
| 9. |
What is the value of \(\lim\limits_{x \rightarrow 0}\frac{x^2sec x}{sin x}\)? |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 10. |
What is the value of \(\lim\limits_{y \rightarrow 0}\frac{sin3y}{3y}\)? |
| A. | 0 |
| B. | 1 |
| C. | 3 |
| D. | \(\frac{1}{3}\) |
| Answer» C. 3 | |
| 11. |
What is the value of \(\lim\limits_{y \rightarrow \pi/2}\frac{sin x}{x}\)? |
| A. | \(\frac{2}{\pi}\) |
| B. | \(\frac{\pi}{2}\) |
| C. | 1 |
| D. | 0 |
| Answer» B. \(\frac{\pi}{2}\) | |