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Maths Limits and Derivatives Class 11 MCQ and Assertion Questions

Short Quiz · Class 11 · Maths · CBSE

Preparing for CBSE

Chapter 12 Class 11 Limits and Derivatives | 5 questions | about 4 minutes

Practise Limits and Derivatives Class 11 with Teachoo's Short Quiz (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 5
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Question 1 of 5
Evaluate the limit: \( \lim_{x \to 2} \left[ \frac{1}{x - 2} - \frac{4}{x^2 - 4} \right] \).
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Question 2 of 5
Evaluate \( \lim_{x \to 0} \frac{\tan x}{x} \).
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Question 3 of 5
Evaluate \( \lim_{x \to 0} \frac{\sqrt{1 + x + x^2} - 1}{x} \).
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Question 4 of 5
Water is draining out of a conical reservoir. The volume of water remaining at time \( t \) minutes is given by \( V(t) = 100(10 - t)^2 \) liters for \( 0 \le t \le 10 \). At what rate is the water flowing out at \( t = 5 \) minutes?
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Question 5 of 5
Consider \( f(x) = \frac{1}{x^2} \) for positive real numbers \( x > 0 \). What behavior does \( f(x) \) exhibit as \( x \to 0^+ \)?
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