answer and working out pls

1. Given that lim f(x) = 4 lim g(x) = -2 lim h(x) = 0 x-2 x- 2 x-2 find the limits that exist. If the limit does not exist, explain why. (a) lim [f(x) + 5g(x)] (b) lim [g(x) ]3 x->2 x-2 (c) lim f(x) (d) lim 3f(x) x - 2 x- 2 g(x) g(x) g(x)h(x) (e) lim (f) lim x-2 h(x) x- 2 f(x)2. Estimate the horizontal asymptote of the function 3x3 + 500x2 f (x) = x3 + 500x2 + 100x + 20003. A patient receives a 150-mg injection of a drug every 4 hours. The graph shows the amount f(t) of the drug in the bloodstream after t hours. Find lim f(t) and lim f(t) 1- 12- 1- 12+ and explain the significance of these one-sided limits. f (t) 300 + 0 4 3 12 16