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Calculus: Early Transcendentals, Enhanced Etext
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Calculus: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Precalculus Enhanced with Graphing Utilities (7th Edition)
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Calculus: Single And Multivariable
- Let E ⊂ R where a, b ∈ E, c ∈ R, a < c < b, with (a, c) ∪ (c, b) ⊂ E. Let f a real-valued function with domain E. Prove limx→c f(x) = L if and only if limx→c−f(x) = lim x→c+f(x) = L.arrow_forwardguess the value of lim x-> -2 g(x), if it exist, by evaluating the function, g(x) = 4tan6x/sin3x, at the given value in the table below x || -0.1 | -0.01 | -0.001 || 0.001 | 0.01 | 0.1 | g(x) | | || | | |arrow_forwardLet (x) = |x - 2| / x - 2 A) what is the domain of g(x)? B) Use numerical methods to find lim x—> 2- g(x) and lim x—> 2+ g(x). C) based on your answer to (b), what is lim x—> 2 g(x)? D) sketch an accurate graph of g(x) on the interval [-4,4]. Be sure to include any needed open or closed circles.arrow_forward
- The graph of the function f is shown above. Which of the following statements is true? A) f is discontinuous at x = 0 because limx→0 f(x) does not exist. B) f is discontinuous at x = 3 because limx→3 f(x) ≠ f(3) C) f is discontinuous at x = 5 because limx→(5−) f(x) does not exist. D) f is discontinuous at x = 6 because limx→(6−) f′(x) ≠ limx→(6+) f′(x) Thank youarrow_forwardA. What is the main and range of f? B. At what point if any does limf(x) exist? C. At what point does the left hand limit exist but not the right hand limit and vice versa?arrow_forwardWhat exactly does limx→c ƒ(x) = L mean? Give an example inwhich you find a d > 0 for a given ƒ, L, c, and e > 0 in the precisedefinition of limit.arrow_forward
- 9. Given the graph of f(x) below, determine which statements are true and which are false. a. lim f(x) does not exist x→-2 b. lim f(x) = 0 x→4 c. lim f(x) = -4 x→0 d. lim f(x) = 6 x→5+arrow_forwardA. What are the domain and range of f? B. At what point if any does a lim f(x) exist? C. At what point does the left hand limit exist but not the right hand limit and vice versa?arrow_forwardSuppose that a function ƒ(x) is defined for all real values of x except x = c. Can anything be said about the existence of lim x approaches c ƒ(x)? Give reasons for your answer.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage