Q5 (5 points) Prove that if f is continuous at s and f (s) + 0 then there is 8 > 0 such that f (ac) + 0 for all ac in the interval (s - 8, s + 8). Your proof must include all of the following: . a clear statement of the definition of continuity in the context of this question . an explanation of how the two hypotheses are used . and, of course, the argument should make clear why there is a d as required.Q6 (5 points) Using the result of Question 5, prove that if f and g are everywhere continuous (in other words, continuous at all points) and f(s) * 0 then there is S > 0 such that g/ f is continuous on the interval (s - S, s + 6). (See the last section of 2.4 for the definition.) Your proof must include all of the following: . an explanation of how the hypotheses are used . if your argument depends on another result proved in the text or that you have already proved, you must state it clearly . you must also show that the hypotheses of any result you use are satisfied