MCQOPTIONS
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MCQOPTIONS
This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics 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^2 x}{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^2 x-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}{sin 2x} )? |
| 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^2 x+ 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. |
Which of the following limits does not yield 1? |
| A. | ( lim limits_{x rightarrow 0} frac{ u2061sin x}{x} ) |
| B. | ( lim limits_{x rightarrow 0} frac{ u2061tan x}{cot x} ) |
| C. | ( lim limits_{x rightarrow 0}( frac{1}{e^x}+cos u2061 x) ) |
| D. | ( lim limits_{x rightarrow 0} ) x cosec x |
| Answer» D. ( lim limits_{x rightarrow 0} ) x cosec x | |
| 8. |
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 | |
| 9. |
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 | |
| 10. |
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. | |
| 11. |
What is the value of ( lim limits_{y rightarrow 0} frac{sin 3y}{3y} )? |
| A. | 0 |
| B. | 1 |
| C. | 3 |
| D. | ( frac{1}{3} ) |
| Answer» C. 3 | |
| 12. |
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} ) | |