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Calculating limits exactly Use the definition of the derivative to evaluate the following limits.
103.
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Calculus: Early Transcendentals (3rd Edition)
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- Topic : Limits of algebraic functionsarrow_forward(11 points) Use the given graph of the function g to find the following limits: 1. lim g(x): = x→2 2. lim g(x) = x→2+ 3. lim g(x) = x→2 4. lim g(x) = x→0 5. g(2) = 110 help (limits)arrow_forwardand 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.arrow_forward
- pplleasearrow_forwardTrue or False The limit of a function is defined when at x=a, f(a) is a real number. The function assumes an indeterminate form when x=a, both the numerator and denominator approaches zero. The expression y2 = 5x+4 is a function.arrow_forwardWhich of the following graphs below show that limx→3 f(x) exists?arrow_forward
- Looking at the graph of f(x), determine the following below. Show your work. Assume ends of the graph continue. 10- |(0, 8) (0.189, 8.096) -5 G (-2, 0) (1.702, 0) 10 (-3.,523, –4.689) a. Location(s) where f "(x) < 0 b. Location(s) where f'(x) has a minimum c. Sign (positive/negative/zero) of f"(x) at Point G d. Sign (positive/negative/zero) of f '(x) at Point Farrow_forwardUse the graph of f in the figure tofind the following values or state that they do not exist.arrow_forwardThe function f is given by f (x) = 0.12 -0.523-3.3x2 +7.7 - 1.99. For how many positive values of b does limf (x) = 2? r-b B C One Two Three Fourarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage