b. The graph of y = f(x) = x, if -3 is shown in FIGURE 1.19 1, if t= -3 Find f(-3). Find lim f(x). Are they equal? x, if -3 y Ax) = 1, if -3 FIGURE 1.1.9 6,

Q: 1. Complete the following tables of values to investigate, lim(r² - 2x + 4). S(x) S(x) 0.5 1.6 0.7…

A: 1) limx→1x2-2x+4 x f(x) 0.5 3.25 0.7 3.09 0.95 3.0025 0.995 3.000025 0.9995 3.00000025…

Q: Question 6 Prove, using the formal definition, that lim,→8(x)'/3 = 2. %3D

A:

Q: b* – 1 Show numerically that for b = 2 and b = 4, lim x→0 appears to equal In 2 and In 4,…

A: Given limit:

Q: y 10 44 8 10 From the given graph, evaluate lim f (x) if it exists. (Enter an exact number. 4, 2. 6,…

A:

Q: Question 2: Evaluate the following limits 5 a) limx-0- 3 5 b) limz-o* x3 5 c) limx-0 x3

A: Find the given limit

Q: Consider the graph of y = x2/3 = Vx² on the interval [0, 0]. FIGURE 2. The curve y = x2/3. 2 - Show…

A:

Q: Approximate the value of 2x + x lim e" – 1 by substituting in 3 different values of x that get…

A:

Q: What do the plots in Problem 4 suggest about lim_ u (x,t)? Is this physically reasonable? Explain.

A:

Q: If the line 3x - 5y = 7 is tangent to the graph of f at the point where x 4 then lim В. A. D. 5 С. З

A:

Q: Let f(x) = (1 + x)1/x. (a) Estimate the value of the limit lim (1 + x)1/x to five decimal places.…

A:

Q: 1. (a) Use the graph below to estimate the following: lim f (x)=, x2 8 = when &=1 (b) Label a, L, ɛ…

A:

Q: Find the following limits based on the figure 1. -2 a Figure 1 i. lim f(x) ii. lim f (x) iii. lim…

A:

Q: If ƒ(1) = 5, must limxS1 ƒ(x) exist? If it does, then must limxS1 ƒ(x) = 5? Can we conclude anything…

A: A function f(x) is said to be continuous at a point x = a, in its domain if the following three…

Q: If you know in advance that lim f (x) exists, can you determine its X+5 value from a plot of ƒ for…

A: Given that limit of f(x) exists at x=5.That means the function f(x) is continuous and differentiable…

Q: Consider the graph of y=f (x) 5 3 C -5 -4 -3 -2 -1 10 11 -1 Which of the following is true? (A X--3…

A:

Q: Complete the following tables of values to investigate lim x→0 x − 1 x + 1 .

A: Consider the function fx=x-1x+1. Compute the value of the function for random values and then make a…

Q: (4) Consider the function + 3bx + 262 if x 1 For which value(s) of b does lim f(x) exist? Justify…

A: Given: fx=x2+3bx+2b2             if x<1 fx=x-1                             if x≥1 limx→1fx…

Q: Suppose a function f satisfies f(3+h) – 2 lim = 7. Find an equation for the line tangent to the…

A: Let

Q: Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable…

A: The tax function,   T(x)=a+0.18xx≤19,500b+0.14x-19,500x>19,500

Q: 21. The cost of manufacturing a particular videotape (in dollars) is C(x)=15,000+ 45x , where x is…

A: cost function C(x)=15,000+45 x

Q: In a model of the nervous system, the intensity of excitation of a nerve pathway is given by I = E[1…

A: Given  that: I=E1-e-a(S-h)E

Q: 16. If f(x) = 2x – 1, what is lim x+h h B. - С. —2 D. 2 NIN

A:

Q: 1. By using the following graph calculate the following values: y 20 15 10 f (x) 5 -10 -5 -1| 1 10…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 14. (a) Use a graph of 1(6) = (1- 2)" f(x) = to estimate the value of lim f (x) correct to two…

A:

Q: Please find the limit (in terms of the constant a).

A: it is given that

Q: Question 4 Given: f (x) = x +7 and g (x) = x² . Find the limit: lim, -3 9 (f (x)). O (E) O 18 O 12 O…

A:

Q: Determine lim g(x) for gas in Figure 11.                   x➔0.5

A:

Q: 3. 13 6. Use the graph above to find the value of : lim f(x) = %3D

A:

Q: Find the limits as x - 0o and as x - -00. y = f(x) = (3 – x)(1 + x)?(1 – x)4 lim f(x) = lim f(x) = X…

A:

Q: Find the limits as x - oo and as x » -o. y f(x) (2 - x)(1 + x)2(1 - x)4 lim f(x) 1 X X co lim f(x)…

A: Given,

Q: Suppose that f(x) = 2cos (n/3 x) and the graph of g(x) is given by: y = g(x) 2 1 -5 -4 i ż 3 4 5 x…

A:

Q: Use the graph of y = f(x) to answer the question regarding the function. Step 1 of 4: Find lim f(x).

A:

Q: The function values for h(x) near x = 1 are given in the table below. -0.10–0.05–0.011 2.01 2.05…

A: Given

Q: Fill in the blank/s as given:

A: To fill the blanks in given statement

Q: 1. lim e7x+2 X→-∞

A: "Since, you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. By using the following graph calculate the following values: 20 15 10 f (x) +++ -10 ++ -5 1 5 10…

A: The figure is given by

Q: Find the limit of the equation.

A: Evaluate the limit

Q: 1 Ask for the answer to lim x (1 – e * ).

A:

Q: If lim as t approaches 4 of the function ((g(x)-6)/(t-1))=1. Find lim t approaches 4 of g(t).

A: The given function is ((g(x) - 6) / (t - 1))  As limit t approaches to 4 the value of the function…

Q: 1. Draw the graph of a function f(x) that satisfies the following conditions. f(-2+h) – f(-2) (a) 3)…

A: Given that, a)limh→0f(-2+h)-f(-2)-2+h-(-2)=-1⇒                       f'(-2)=-1 b)f(0)=0 c) f'(0) is…

Q: 1. Complete the following tables of values to investigate lim,-1(x2 – 2x + 4) f(x) X 0.5 0.7 0.95…

A:

Q: Question 9 Evaluate the linmit: lim (5y – 4y)

A: Ques:limy→15y3-4y

Q: 1 lim \3 Vx + 9/

A: Rationalization of an expression is done to remove the radical expression from the term. For…

Q: The graph of a function f and its tangent line at 0 are shown. What is the value of lim X→0 e7x f(x)…

A:

Q: 2. For the function f(x) defined by O if z is an integer 1 if r is not an integer f(1) = (a) Sketch…

A: The given function f(X) is defined as, fx=0,  if x is an integer1,  if x is not an integer To sketch…

Q: Suppose g(x) is a function. sin(32) If lim 9(x)+ =8, then what is lim g(x) ? Your answer should be…

A:

Q: According to the graph of f(x) given below, f(x)– 2 (a) Is lim positive? ("yes" or "no") [a] (b) lim…

A: Look at the graph and find few values. f(0) = 2 f(1) = 1 If at any point tangent is parallel to…