Math 178 Exam 1 Form A Fall 2023 Please show all your work and clearly box the final answer for each problem 1 Use the following graph of f x to find each limit 8 pts 44 Name 5 Find lim f x x 2 c Find lim f x d Find f 2 a b C d lim f x lim f x lim f x X S 2 Graph the following function to find the indicated limits and function values 13 pts a Find lim f x 24 2 lim f x 2 f x 5x 3 for x 2 x 1 for x 2 7 6 5 4 3 2 7 6 5 4 3 2 1 2 3 4 5 6 1234567 e Is the function continuous or discontinuous at x 2 Explain your answer using the definition of a continuous function Hint Verify the three conditions we discussed in class 4 pts 3 Use limit properties algebraic simplification tables of values and or graphs to find each limit if it exists If you are using table of values or graphing make sure you give me the table of values or the graph If the limit does not exist explain why and be descriptive as possible 6 pts each 4 x nt x a lim x 4 x 2 x 2x 8 b lim c lim x 25 x 5 x 5 d lim x 3 X 8 x 2 4 Find the equation of the tangent line to the curve g x x 2x 1 at 2 5 7 pts