Please Help Me!

1. (5 pts) Find the limit using analytical techniques. lim- Vx - 2 . Do not use L'Hospital's Rule x-4 x-4 2. (9 pts) For the function g(t) whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why. a. lim g (t) = 1-0- b. lim g(t) = 1-0* C. lim g (t) = 120 2 d. lim g (t) = 1-+2 2 4 e. lim g (t) = 1-2 f. lim g (t) = 1-2 g. g (2) = h lim g (t) = 1-4 4x2 3. a) (10 pts) Given g (x) = = x' - x-2 7, find the domain of the function and the equations of horizontal and vertical asymptotes. Use limits to verify the existence of all asymptotes. Sketch the graph (HINT: it will cross the horizontal asymptote)