Concept explainers
Finding Limits at Infinity In Exercises 11 and 12, find
(a)
(b)
(c)
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Calculus (MindTap Course List)
- Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) = ∞, lim f(x) =5, lim f(x) = -5 6. x→2 x→-2+ x→-2- lim f(x) = 0, lim f(x) = 0, f(0) = 0arrow_forwardConsider the function:f(x) = {x2, x ≤ 2 {4, 2 < x ≤ 4 {x + 2, if x > 4 (a) Sketch the graph of f(x). Find the following limits:(b) lim x→2+ f(x)(c) lim x→2− f(x) (d) lim x→2 f(x)(e) lim x→4+ f(x)(f) lim x→4− f(x)(g) lim x→4 f(x)(h) lim x→−3 f(x)(i) lim x→5 f(x)arrow_forwardIf f(x)= 2x+12 |x+6| , determine whether lim f(x) exists. x--6arrow_forward
- Sketch the graph of the f(x) function and use it to determine the values of a for which lim f(x) exists: 2-x f(x) = {x (x-1) if x 1 if x< -1 if -1arrow_forwarda (a) lim f(x) X-2 (b) lim f(x) X→2arrow_forwardGraph f (x) to evaluate lim f(x). x→3 Enter the exact answer. lim f(x) = Number x→3¯ f(x) = 4x - 4 17 x3 x 3arrow_forwardThe graph of y = f(x) has the following features: f(1) = -2 lim f(x) = 1 #→1 lim f(x) = 1 →1+ Which of the following might be a graph of y = f(x)? ● ● ● None of these. aarrow_forwardSketch the graph of an example of a function f that satisfies all of the given conditions. lim x→0 (f(x)) = ∞, lim x→3− (f(x)) = −∞, lim x→3+ (f(x)) = ∞, lim x→−∞ (f(x)) = 3, lim x→∞ (f(x)) = −2arrow_forwardUse the graph of the function f to decide whether the value of the given quantity exists. (a) f(-2) (b) lim x→−2 f(x) (c) f(0) (d) lim x→0 f(x) (e) f(2) (f) lim x→2 f(x)(g) f(4) (h) lim x→4 f(x)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage