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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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- Determining limits analytically Determine the following limits. a. lim tS-2 2 - 5t + 6t A - 412 b. lim tS-2- t - 5 + 6t A - 42 2 - 52 + 6t c. lim tS-2 P - 5 + 6t * - 4r d. lim A - 4 2arrow_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_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_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage