Question 1. Consider the graphs of f and g given below: 2 -2 2 y = f(x) y = g(x) In answering the following questions, be careful to explicitly state what properties of the limit you are using. For example, when you use continuity, the limit laws, or determine a limit by looking at the graph, be sure to explicitly mention so. i) (4 marks) Find and classify the discontinuities of f. ii) (2 marks) Find and classify the discontinuities of g. ili) (2 marks) Determine the limit lim [g(z) + 9(-2)] iv) (2 marks) Determine the limit lim, f(z)9(2) v) (2 marks) Determine the limit lim ef() vi) (2 marks) Find the limit lim f(9(z)). vii) (2 marks) Find the limit lim g(f(z)). vili) (4 marks) Consider the function 1ter ifx>0 h(x) = if x = 0 if &