LIMIT OF A FUNCTION SS2 LEVEL(HARDER)

Advanced Limits Quiz for SS2 Students

Test your understanding of more complex limit problems

Question 1: Find lim_x→3 x² - 9x - 3

A) 0 B) 6 C) 3 D) Does not exist

Question 2: Evaluate lim_x→0 sin(x)x

A) 0 B) 1 C) ∞ D) Does not exist

Question 3: Find lim_x→2 x² - 4x + 4x - 2

A) 0 B) 2 C) 4 D) Does not exist

Question 4: What is lim_x→∞ 3x² + 2xx² - 1?

A) 0 B) 3 C) ∞ D) 1

Question 5: Find lim_x→1 x³ - 1x - 1

A) 1 B) 2 C) 3 D) 0

Question 6: Evaluate lim_x→0⁺ 1x

A) 0 B) +∞ C) -∞ D) 1

Question 7: Find lim_x→4 √x - 2x - 4

A) 14 B) 12 C) 2 D) Does not exist

Question 8: What is lim_x→-∞ (2x³ + x² - 5)?

A) +∞ B) -∞ C) 0 D) -5

Features of this advanced quiz: Harder topics: Indeterminate forms, infinite limits, trigonometric limits, rational functions Proper notation: Subscript limits, fraction formatting, mathematical symbols Enhanced scoring: Letter grades, detailed feedback, unanswered question tracking Better design: Improved styling, hover effects, smooth scrolling to results Educational value: Covers factoring, L'Hôpital's rule concepts, and limit behavior at infinity