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- 2. The graph of g(x) is given below. Find lim g(x) x→9. a.0 b. 9 c.1 d.2 3. What is lim h(x) x→π in the graph below? a.-2 b. 0 c. 2 d. 1The limit lim h->0 ((3+h)^3-27)/h represents f'(a) for some function f and some number a. a) Find f(x) b) Find the value af'(x) = (x-1)(x-2)(x-3)(x-4) What can be said about lim(x->infinity) if anything?
- . f (x) = x^2 +2 x<3 10 x=3 -3+4x x>3 1. At what value is this function discontinuous, if any? What is the lim f (x) 3 ? What is the lim f (x) 1? d. What is the value of f (4) ?a)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.A) Complete the given sentence. (Enter your answers as a comma-separated list. If there is no such point, enter NONE.) The closed-form function f(x)=3/X^2-9 is continuous for all x except x =___________ B)Complete the given sentence. HINT [See Example 1.] (If the limit does not exist, enter DNE.) The closed-form function f(x) = √x-5 has x = 20 in its domain. Therefore, I'm √x+5 =_______________ x→20
- 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 youUse the graph to determine the values of a for which lim x → a f(x) does not exist. (Enter your answers as a comma-separated list.) ^That is the second part of the question. The first part is a photo. I am just confused in general. I'm not used to seeing a graph like this. Any help would be much appreciated.3. The graph of f(x)= { 3, x≤-1 (x-1)2, x>-1 is shown below. Evaluate lim f(x) x→-1-. a. The limit does not exist b. -1 c. 3 d. 4 4. Given the graph of f(x) below, evaluate its limit as x approaches 2 from the right. a- ∞ b. The limit does not exist c. 2 d. 4
- A. Lim x arrow -6^+B. Lim x arrow -2C. Lim x arrow 1D. f(4)E. f(6)The graph below is the function f(x). Find the lim x->2-A state charges polluters an annual fee of $20 per ton for each ton of pollutant emitted into the atmosphere, up to a maximum of 3,000 tons. No fees are charged for emissions beyond the 3,000-ton limit (so, the fees is the same foe 3,000 and any value over 3,000 tons). Write a piecewise definition of the fees F(x) charged for the emission of x tons of pollutant in a year. (A) What is the limit of F(x) as x approaches 3,000 tons? Answer (A) : $ (B) As x approaches 8,000 tons? Answer (B) : $