PU E 2026 Functions and Limits Free Quiz 2

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PU E 2026 Functions and Limits Free Quiz 2

PU E Quiz

10:00

Answered: 0 / 7

Remaining: 7

Navigator 7 Q

General

General 7 MCQs

11. What is lim_{x→0} (1 - cos x)/x?

A. 0 B. 1 C. 1/2 D. ∞

12. What does lim_{x→a} f(x) = L mean?

A. f(a) = L B. As x → a, f(x) → L C. f(x) = L at x = a D. f(x) → ∞

13. When is a function continuous?

A. lim_{x→a} f(x) = f(a) B. lim_{x→a} f(x) ≠ f(a) C. lim_{x→a} f(x) = 0 D. f(a) = 0

14. Where is f(x) = 1/x discontinuous?

A. Continuous at x = 0 B. Continuous for all x C. Discontinuous at x = 0 D. Continuous for x > 0

15. What is a removable discontinuity?

A. Jump discontinuity B. Infinite discontinuity C. Oscillating discontinuity D. Removable discontinuity

16. Which has a removable discontinuity?

A. f(x) = (x² - 4)/(x - 2) B. f(x) = 1/x C. f(x) = |x|/x D. f(x) = sin(1/x)

17. What does the intermediate value theorem state?

A. Mean value theorem B. Intermediate value theorem C. Extreme value theorem D. Rolle's theorem

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