QUESTIONS #2b, 2d, 5 and 7a

2. Evaluate the limit or determine that it does not exist. 1 NICO b) lim 2x2 + 8 x-+2/3 2 - 3x d) lim x-3- x2-9 5. Consider the function f(x) = (ax -6)(x + 1) , where a is an unknown constant. For which x - 2 value(s) of a does the graph of f have a vertical asymptote? 7. Find the vertical asymptote(s) of f and, at each asymptote, find both the corresponding one- sided limits. a) f(x) (x + 1) (2x +5) (x + 1) (3x - 6)