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Class 11 Maths Practice Test - Limits of Trigonometric Functions
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Class 11 Maths Practice Test - Limits of Trigonometric Functions
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12 Questions

1. What is the value of \(\lim\limits_{y \rightarrow 0}\)(32 x2 cosec2 ⁡4x)?
2. What is the value of \(\lim\limits_{x \rightarrow 0}\frac{e^x(sin^2⁡ x)}{x^3}\)?
3. What is the value of \(\lim\limits_{y \rightarrow \pi/2}\frac{sin⁡ x}{x}\)?
4. What is the value of \(\lim\limits_{x \rightarrow 0}\frac{x^2sec x}{sin⁡ x}\)?
5. What is the value of \(\lim\limits_{y \rightarrow 0}\frac{sin⁡3y}{3y}\)?
6. What is the value of the limit \(\lim\limits_{x \rightarrow 0}\frac{sin^2⁡x}{x^2}\)?
7. What is the value of \(\lim\limits_{x \rightarrow 0}\frac{x \,tanx}{cot\, x}\)?
8. What is the value of the \(\lim\limits_{x \rightarrow \frac{3\pi}{2}}\frac{cos⁡ x sin⁡ x}{sin⁡2x}\)?
9. What is the value of the limit \(\lim\limits_{x \rightarrow \frac{\pi}{2}}\frac{sin^2⁡x-1}{cos ⁡x}\)?
10. What is the value of \(\lim\limits_{x \rightarrow \infty}\frac{x sin⁡\frac{2}{x}}{2}\)?
11. Which of the following limits does not yield 1?
12. What is the value of the limit f(x) = \(\frac{sin^2⁡x+\sqrt 2 sin ⁡x}{x^2-4x}\) if x approaches 0?

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