Expert Limits Challenge - Advanced SS2

Time: 30:00

🧠 Expert Limits Challenge Quiz

⚠️ EXTREME DIFFICULTY - Advanced SS2 Level ⚠️

Master the most challenging limit problems. Time limit: 30 minutes

Question 1: Evaluate lim_x→0 1 - cos(x)x²

A) 0 B) 12 C) 1 D) Does not exist

Question 2: Find lim_x→∞ x(√(x² + 1) - x)

A) 0 B) 12 C) 1 D) ∞

Question 3: Evaluate lim_x→0 e^x - 1 - xx²

A) 13 B) 12 C) 1 D) 2

Question 4: Find lim_x→0⁺ x^x

A) 0 B) 1 C) e D) Does not exist

Question 5: Evaluate lim_x→π/2 tan(x)sec(x)

A) 0 B) 1 C) ∞ D) Does not exist

Question 6: Find lim_x→0 sin(x) - xx³

A) 0 B) -16 C) 16 D) -1

Question 7: Evaluate lim_x→1 x^1/(x-1)e

A) 1e B) 1 C) e D) Does not exist

Question 8: Find lim_x→0 ln(1 + x) - x + x²2x³

A) 13 B) -13 C) 16 D) 0

Question 9: Evaluate lim_x→∞ (1 + 2x)^3x

A) e² B) e⁶ C) e³ D) 1

Question 10: Find lim_x→0 x - sin(x)x - tan(x)

A) -2 B) -12 C) 12 D) 2