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Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the values of
20.
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Chapter 2 Solutions
Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)
- Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) -4. 2 4 lim f(x) x-2 (a) lim f(x) (b) x- 2* (c) lim f(x) x- 2 (d) f(2) (e) lim f(x) x-4 (f) (4)arrow_forwardCalculus - (Show all work, no calculator)arrow_forward1a) First Pic1b) second picarrow_forward
- x+2 2. Consider the function f (x) |a+2] Does lim f (x) exist? Give reasons for your conclusion. x-2arrow_forwardGive an example by sketching the graph of a function f that satisfies all the given conditions. lim (x--> -3) f(x)=+oo, lim (x--> -oo) f(x)=-2, f(0) = 0, f is even.arrow_forward-t+2 Evaluate the lim (-2)arrow_forward
- How do I do A, B, and C?arrow_forwardB. LIMITS at INFINITY Recall your lesson in Piece-wise function. X→C In this lesson, you must be able to differentiate between f(c) and lim f(x). In evaluating a function f(c), when you do DIRECT SUBSTITUTION, the result must be a DEFINED NUMBER (A NUMBER THAT EXIST), otherwise f(c) is UNDFINED. Contrary to lim f(x), when you do direct substitution, the answer maybe indeterminate 0/0 but THERE IS A WAY TO EVALUATE THE LIMIT USING MANY TECHNIQUES, otherwise lim f(x) DOES NOT EXIST. x→c X-C Let us examine the piece-wise function below. 0 1. f(-4) 2. f(-2) 3. f (0) The function is defined by the equation. 4. f (1) 5. f(2) 6. f (3) f(x) = 2+7, -4≤x≤-2 -2, 7. f (4) 8. f(7). -1, (x-2)², x-4 x-7 7 A Self-Regulated Learning Module 2arrow_forwardThe graph below is the function f(x) 4- 2- -3 -2 -1 -21 -51 Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. lim f(x) = lim f(x) = lim f(2) = f(3)arrow_forwardarrow_back_iosarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning