Exercise III: Limits involving infinity (1.6) 1. Compute lim x (3x - V9x2 + 2) 2 - too 2. Find all the horizontal and vertical asymptotes of the function f (20) =- 20 2 - 2 20 2 2 - 5x + 6 Justify properly using limits. 3. Compute C lim x-+2+ x - 2 262 - 2 20 where c is a real number. You may obtain different answers depending on the value of c. 4. Give a formula for two functions f and g such that . f has exactly one vertical asymptote; . g has exactly two vertical asymptotes; . f + g has exactly one vertical asymptote. Make sure to justify that your choice is correct