Calculus I Problem

Please write down the explanation as details as possible. Thanks in advance!

Concept Questions 1. Explain what each of the following means and illustrate with a sketch. (a) lim f(x) = L (c) lim /(x) = L (b) lim (x) moo (d) lim f(x) = L 2. Describe several ways in which a limit can fail to exist. Illustrate with sketches. 3. What does it mean to say that the line a = a is a vertical asymptote of the curve y = f(z)? Draw curves to illustrate the various possibilities. Problem with Explanation Solve the following problem. Include an explanation so that a peer in the class can understand the work. Your explanation should have an emphasis on explaining calculus concepts over algebraic concepts. Problem Prompt: Using the graph below, find each limit or explain why it does not exist. * Double check the negative signs" 1. lim g(x) 4. lim g(z) 2. lim g(z) 5. lim g(x) 3. lim g(2) 6. lim g(x)