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Limits and Derivatives Quiz

Class XI
Mathematics
Limits and Derivatives
14 questions
MEDIUM

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1. What is the limit of sin(x)/x as x approaches 0?

0 · 1 · Infinity · Undefined

2. The derivative of f(x) = x^2 at x = 3 is:

3 · 6 · 9 · 12

3. Which of the following represents the definition of a derivative?

f'(x) = lim (h -> 0) (f(x+h) - f(x)) · f'(x) = f(x) / x · f'(x) = x^2 · f'(x) = x + 1

4. The limit of (1/x) as x approaches infinity is:

0 · 1 · Infinity · Undefined

5. If f(x) = 3x + 2, what is f'(x)?

3 · 2 · 6 · 1