Limits – Standard Results (sin x/x, (eˣ - 1)/x)

Grade 11 Maths — Limits – Standard Results (sin x/x, (eˣ - 1)/x): 25 practice questions with instant scoring and explanations.

1. lim(x→0) (sin x)/x equals:
2. lim(x→0) (sin 2x)/x equals:
3. lim(x→0) (tan x)/x equals:
4. lim(x→0) (sin x)/(2x) equals:
5. lim(x→0) (eˣ - 1)/x equals:
6. lim(x→0) (eˣ - 1)/(2x) equals:
7. lim(x→0) (sin 3x)/(sin x) equals:
8. lim(x→0) x(sin x) equals:
9. lim(x→0) (sin x)/x² equals:
10. lim(x→0) (1 - cos x)/x equals:
11. lim(x→0) (1 - cos x)/x² equals:
12. lim(x→0) (sin 5x)/(sin 2x) equals:
13. lim(x→0) (eˣ - e⁻ˣ)/(2x) equals:
14. lim(x→0) (log(1 + x))/x equals:
15. lim(x→0) (aˣ - 1)/x, where a > 0, equals:
16. lim(x→0) (sin 4x)/(sin 2x) equals:
17. lim(x→0) sin(x)/x² is:
18. lim(x→0) (tan x - sin x)/x³ equals:
19. lim(x→0) (sin x - x)/x³ equals:
20. lim(x→0) (eˣ - 1 - x)/x² equals:
21. lim(x→0) (cos x - 1)/x equals:
22. lim(x→0) (sin mx)/(sin nx) equals:
23. lim(x→0) (1 + x)^(1/x) equals:
24. lim(x→0) (sin 2x)/(tan 3x) equals:
25. lim(x→0) (1 - cos 2x)/x² equals: