Limits – Intuitive Concept, Algebra of Limits

Grade 11 Maths — Limits – Intuitive Concept, Algebra of Limits: 25 practice questions with instant scoring and explanations.

1. The limit of a function f(x) as x approaches 'a' is L, written as lim(x→a) f(x) = L means:
2. lim(x→2) (3x + 1) equals:
3. lim(x→0) (x² + 3x) equals:
4. If lim(x→a) f(x) = L and lim(x→a) g(x) = M, then lim(x→a) [f(x) + g(x)] equals:
5. lim(x→1) (x² - 1)/(x - 1) equals:
6. The product rule for limits: lim(x→a) [f(x) × g(x)] equals:
7. lim(x→0) 5x² equals:
8. lim(x→2) (x² + 2x - 1) equals:
9. The quotient rule: lim(x→a) f(x)/g(x) equals:
10. lim(x→3) (2x + 1)/(x - 1) equals:
11. lim(x→0) (sin x)/x equals:
12. lim(x→1) (x³ - 1)/(x - 1) equals:
13. If lim(x→a) f(x) = 5 and lim(x→a) g(x) = 3, then lim(x→a) [f(x) - g(x)] equals:
14. lim(x→2) √(x + 2) equals:
15. The constant rule: lim(x→a) c equals:
16. lim(x→0) (x² + 2x)/x equals:
17. lim(h→0) [(a+h)² - a²]/h equals:
18. If a limit doesn't exist from left and right, it is:
19. lim(x→1) (x⁴ + x³ + 1)/(x + 1) equals:
20. lim(x→0) (eˣ - 1)/x equals:
21. The limit of a polynomial p(x) as x approaches a always equals:
22. lim(x→∞) (1/x) equals:
23. lim(x→0) (tan x)/x equals:
24. If lim(x→a) f(x) = L, then the function f must be:
25. lim(x→2) [(x + 1)(x - 1)] equals: