MATH 1007H Test 1 Wednesday, February 9th NAME: STUDENT NUMBER: This Test has 6 questions (worth a total of 20 marks). You have 60 minutes to scan and upload your solutions to Brightspace. Write your answers in the spaces provided and put a box around the nal an- swers where appropriate. OR You may write your answers (in order) on your own paper. You must submit a single pdf le only. 1. (3 points) Fill in the blanks. A function is a rule that assigns a output value for each input. We can test for a function by using lines. We can test if a function is oneto-one by using lines. 2. (2 points) Given f(2:) = 62$2 and g(x) = cos(x 1), nd f o g and go f. 3. (2 points) If f(x) = ln(tan(3$ + 4)), What is f'1(:c) ? 4. (3 points) What are the three common types of discontinuities? 5. (4 points) Consider the function f(x) = 2 2 (a) Find lim f(x) . 20 - 2 - (b) Find lim f(x) . x-+ 2+ (c) Does lim f(x) exist ? Why or why not? (d) Is f(x) continuous at x = 2 ? Why or why not? 6. (6 points) Find the following limits. 202 - 4 (a lim 3x + 5 3202 + 2 + 2 x-2- (x - 2)2 (b) lim x-+0 4x2 + 3x + 2 c lim x -+00 9x2 + 8 NO