MAT133Y5Y Assignment 08- Winter 2022 Due: January 28th, 2021 at 11:59pm via CrowdMark. Late assignments will not be accepted. Unless otherwise stated, you must show your work. Before continuing, ensure that you read the Expectations on Student Writing. Poorly written assignments, even those whose content is ostensibly correct, will receive a poor mark or a mark of zero. If you are uncertain as to what qualifies as good writing, do not hesitate to seek out the advice of a course instructor or teaching assistant. Question 1. Consider the graphs of f and g given below: -2 1 y = f(x) y = 9(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. iii) (2 marks) Determine the limit lim [g(z) + g(-x)] iv) (2 marks) Determine the limit lim, f(x)g(2) v) (2 marks) Determine the limit lim of(z) vi) (2 marks) Find the limit lim f(g(x)). vii) (2 marks) Find the limit lim, g(f (r)). vili) (4 marks) Consider the function Iter if1>0 h(z) = 1 if r =0 - 2 if r