Use the given graph of f(x) to state the value of each quantity, if it exists. If it does not exist, explain why? |(a) lim f(x) (b) lim f(x) (c) lim f(x) |(d) lim f(x) (e) f(5) 4.
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A: Limit
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Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6
A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6 =limx→∞-5+2ex5ex+6…
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A: As we know that, the limit limx→af(x) exists only when limx→a-f(x)=limx→a+f(x)
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Q: f(x) – 4 If lim х-з х-2 3, find lim f(x). x-3
A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…
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A: No we can't exactly tell whether whether limx→5f (x) exists from a plot of f for x > 5, Because,
Q: Part I-Evaluate the Following Limits: 1. lim 5 X-1 2. lim (- + 2x+ 4) X-1
A: topic - limits
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Q: [6] Sketch the graph of the function f(x)=Vx-5. (a) Evaluate lim x-5 (b) Why do we not evaluate lim…
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- Below is a graph of the function g(x). Use this graph to complete the problems given below. a) lim x->2 g(x) =? b) lim x->0 g(x) =? c) lim x->4- g(x) =? d) lim x->4+ g(x) =? Based on the answrs in c and d does lim x->4 g(x) exist?The graph of a function f for which f(2) exists and lim f(x) x-->2 exists, but the two are not equal. Construct an example of this(a) What is wrong with the following equation? x2 + x − 12 x − 3 = x + 4 (x − 3)(x + 4) ≠ x2 + x − 12 The left-hand side is not defined for x = 0, but the right-hand side is. The left-hand side is not defined for x = 3, but the right-hand side is.None of these — the equation is correct. (b) In view of part (a), explain why the equation lim x → 3 x2 + x − 12 x − 3 = lim x → 3 (x + 4) is correct. Since x2 + x − 12 x − 3 and x + 4 are both continuous, the equation follows. Since the equation holds for all x ≠ 3, it follows that both sides of the equation approach the same limit as x → 3. This equation follows from the fact that the equation in part (a) is correct.None of these — the equation is not correct.
- 1. Evaluate lim (2x-5) given its graph below. x →2 a.0 b. -1 c. 2 d. 1 2. Given the graph of f(x) below, evaluate its limit as x approaches 3. a.2 b. 3 c. 1 d. 0Use the graph of the function h(x) given below to answer the questions that follow. (1) Evaluate h(−2) (a) Find lim x → −2- h(x) (b) Find lim x → -2+ h(x) (c) Use your answers from parts (b) and (c) to find lim x→-2 h(x).The percent of research articles in one prominent journal written by researches in the Unites States during 1983-2003 can be modeled by A ( t ) = 12 + 28/1+.6(1.6)-t where t is time in years since 1983. Numerically and/or graphically estimate lim x → ∞ A ( t ). (Do not include units or symbols.)
- Sketch 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)) = −2Let G(x) = (x + 6)/(x2 + 4x - 12). a. Make a table of the values of G at x = -5.9, -5.99, -5.999, and so on. Then estimate limx--> -6 G(x). What estimate do you arrive at if you evaluate G at x = -6.1, -6.01, -6.001, .....instead? b. Support your conclusions in part (a) by graphing G and using Zoom and Trace to estimate y-values on the graph as x --> -6Find f(2) and lim f(x)
- Given lim (4x-3) as x approaches 1. Use the definition of a limt to find a number delta such that the absolute value of x-a is less than delta when the absolute value of f(x)-L is less than 0.08a)Find the domain of the function f and graph the domain of f. b) Show that lim (x,y) —>(0,1) f (x, y) cannot be found.sketch the graph? lim f(x)=-2 , lim f(x)=0 , lim f(x)=infinity , lim f(x)= - infinity, x->- infinity x->infinity x->-3 x->3- lim f(x)=2, and f is continuous from the right at 3. x-> 3+