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Class 11 Maths Practice Test - Limits and Derivatives
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Class 11 Maths Practice Test - Limits and Derivatives
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10 Questions

1. Which of the following limits does not yield 1?
2. What is the value of \(\lim\limits_{y \rightarrow 2} \frac{y^2-4}{y-2}\)?
3. What is the value of the limit \(\lim\limits_{x \rightarrow 4}\frac{x^2-4-3x}{x-3}\)?
4. What is the value of \(\lim\limits_{x \rightarrow \infty}\frac{x^2-9}{x^2–3x+2}\)?
5. What is the value of the \(\lim\limits_{x \rightarrow 5}⁡\frac{32x+1}{x^2–5x}\)?
6. What is the value of \(\lim\limits_{y \rightarrow 4}\) f(y)? It is given that f(y) = y2 + 6y (y ≥ 2) and f(y) = 0 (y < 2).
7. What is the value of \(\lim\limits_{x \rightarrow 4} \frac{x^2-2x-8}{x-4}\)?
8. What is the value of \(\lim\limits_{y \rightarrow \infty} \frac{2}{y}\)?
9. What is the value of the limit f(x) = \(\frac{x^2+\sqrt {2x}}{x^2-4x}\) if x approaches infinity?
10. What is the value of \(\lim\limits_{x \rightarrow 3}\frac{x^2-9}{x–3}\)?