Chapter 2.2, Problem 3E

and radical) What I Know Multiple Choice. Directions: Encircle the letter of the correct answer. 1. Which mathematical expression corresponds to the statement "the limits of the function x2 + 2 as x approaches to 3 is equal to 11"? C. lim (x2 + 2) = 11 x →3 А. lim (x2 + 2) = 11 D. lim (x² – 2) = 11 x -3 X--3 В. lim (x2-2) = -11 x--3 2. Which function becomes undefined? f(x) = 0 C. f(x) = L D. f(x) = ; b= 0 А. В. X = c 3. What is the value of m(x² - 3x +4)? А. С. 2 В. D. 1 4. Which of the following denotes the definition of limit of a function? А. lim f(x) = L C. x approaches c as L В. f(x) approaches L D. lim f (x) = x 5. Graphing the limit of the f(x) = 1 %3D as x approaches to zero, which statement is correct? A. The limit of the function is equal to zero. B. The limit of the function does not exist.

1. Part 1 - Application 30 1+ 23-x Let f(x) = a. Use tables and graphs to find lim f(x) and lim f(x). 00x3 ∞0-x b. Identify any horizontal asymptotes. c. What is the y-intercept? d. How is the numerator of the fraction for f related to part b? e. Sketch the graph.

- 5 f(x) - If lim X-4 X - 2 1, find lim f(x). %3D