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 lim f(x) = f(-3) (в lim f(x) does not exist X+4 lim f (x) =f (6) I-6 lim f (x) =f (2) X-2-

Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…

A: Given :fx=2-3x2

Q: 1- Find the limits: lim V - 1 メ→ x-1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x2 3(x-2)2 x+1 d. lim…

A: Consider the limits  a.limx→1x−1x−1b.limx→∞2x33x−22c.limx→22x33x−22d.limx→3x+13−x2

Q: (-금x+ 2, x 0 exist? If yes, give its value. If not, why?

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Q: x + 5x- 6 Estimate lim X+6 X-6 60 -7 Limit does not exist.

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Q: 1. Use the definition to show that x² - y² lim (x,y)→(0,0) x² - y² = 0.

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Q: Find the one-sided limits of f (x). - 2x + 7 if x < -3 f(x) x + 4 x + 3 %3D if x 2 -3 Step 2 of 2:…

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Q: The process by which we determine limits of rational functions appliesequally well to ratios…

A: Solution:Givenlimx→∞ x-34x2+25To find the limit valueFormula:ab=ab

Q: (5х-4, E If f(x) = 0<x <1 show that lim f(x) exists. %3D 4x - 3x, 1<x<2

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Q: In exercises 6 - 17, find the limits of the given functions using any method of solution that you…

A: Note: sorry for the answering only way sub parts because according to our guidelines we have to…

Q: For the function f(x) (X^2-3 if -3 ≤x2 C) is f continuous at x=2? D) does lim f(x) exist at x->4^-?…

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Q: 1. Evaluate the limits x* +x-12 lim x-4x-21 x -9 x-1 i. lim iii. lim- ii. x-9 iv. lim 4-3x+7x* - 5x

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Q: Show that the function f(x) = |x - 3| is not differentiable at 3. We have x- 3 if x 2 3 f(x) = |x -…

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Q: B. Find the limit. Зх— 1 5. lim х-1/3 9х2-1 x3- 1 6. lim х+1 х-1 Vx+5 -2 7. lim X→-1 х+1 Vx-1 4. lim…

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Q: 5.) Find the limit. When necessary, state that the limit does not exist. x² + 3x-18 lim Xx-3 x-9

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Q: 1- Find the limits: VI- lim X X-1 а. 2x3 b. lim x→ 00 3(x-2)2 2x3 с. lim x2 3(x-2)² x+1 d. lim X-3…

A: Given: )

Q: b) The function g is defined by 4 x-2 x+2 Show that lim g(x)exist. x -2

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Q: 1- Find the limits: lim x→I x- 1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x-2 3(x-2)2 x+1 d. lim x-3…

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Q: a. Find the Domain for y = = /4 -x + ! b. For what value of (k) is the function y-f(x) continuous at…

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Q: 3. Evaluate the limit: x² – 3x + 2 lim X-1 x + 1

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Q: (2) Find the limit of the following: (a) lim 47 x2 -4 (c) lim x-1 1-x (b) lim (3x+11) X-4 x2 - 2x-63…

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Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

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Q: a) b) c) -4 -3 -2 -1 lim f (x) x-1 lim f(x) X→-2 lim ¿ x- 2*¹ f (x) ¿ f(x) LO 4+ 3- 2+ 1- 0 H -2+ 1…

A: Given that a graph and we find given limits - a) lim(x tends to 1) f(x). b) lim(x tends to -2) f(x).…

Q: Find the limits of x² 1- lim Vx+1 -1 +x - 6 2- lim | x+3 x→-3

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Q: b. f(3) = 2 and lim f (x) does not exist.

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Q: 3. Find the indicated limits. if x 2 f(x) -2+ 4x – x² a) lim f(x) x→2+ b) lim f(x) x→2- c) lim f…

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Q: В. Find the limit. х2-25 Зх — 1 1. lim х>-5 х + 5 5. lim х-1/3 9х2-1 Зx2—17х + 20 х3-1 2. lim х-4…

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Q: 4. Find the limit: lim (b) lim -5x+4 x-4 X-4

A: We can find the limit using the L'Hospital rule.

Q: 2. Create a graph that satisfies the given conditions. im f (x) = -∞, lim f(x) = ∞, lim f(x) = 0,…

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Q: d the limit lim X-3 x-2-1 x-3

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Q: Let h(x) = (x2 - 2x - 3)/(x2 - 4x + 3). a. Make a table of the values of h at x = 2.9, 2.99, 2.999,…

A: First, we factor numerator and denominator. Then we simplify for x not equal to 3. Then use this…

Q: Show that the function given below is continuous. 4v2 - 16v lim -2 v-4

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Q: Find the specified limit. x',x -1 lim f(x) - ? 2. Find the limit (if any) Jx-5 lim x-25 x- 25

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Q: Find the limit. y 6- 5- 4 3- 2 1- 3-2 -1 -1 1\2 3 4 5 -2t limz-0 f (x)

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Q: Estimate the limit numerically for lim X4 x²-3x-4 4 3.9 3.99 3.999 4.001 4.01 4.1 X. x - 4 Lx2 - 3x…

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Q: b) The function g is defined by 4 x-2 x+2 Show that lim g(x) exist. x -2

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Q: 1.) Determine the limit: a) lim vx2 + 14x + 49 x-5 b) lim (x² – 4x)³ x-1

A: Solution:To solve 1a and b1.(a)limx→5x2+14x+49(b)limx→1x2-4x3

Q: Show that lim- e +1 does not exist. 1/x

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Q: 1. Sketch the graph of a function with the given properties. lim f(x) = 2, lim f(x) = -, lim f(x) =…

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Q: Find lim,-2 f(x) 2 -3 -2 -1 2 3 lim→-2 f(x) = 0 %3D lim, -2 f(x) = 2 lim,-2 f(x) = 1 Does Not exist

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Q: 1. Sketch a graph of a function f(x) with the following properties: f(-2) = 0, ƒ(2) = 0, lim_f(x) =…

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Q: 2.4.13 f(x) Suppose f(x)→- 150 and g(x)→0 with g(x) <0 as x-3. Determine lim X--3 9(x) 1(x) lim…

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Q: 4) Find the value of each limit: х* + х —6 а. lim х-я х — 2х-15 x→1 | Vx – 1 lim х—1 х — 1 b.

A: The limit of a function is the value of the function when the arguement of the function tends to a…

Q: Let x2 + 10x + 21 f(x) = x2 + 12x + 35 The expression using limits to calculate the equation of the…

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Q: 2) G VALUATE THE UMIT, IF IT EXISTS. Lim X-3 x2-X-12 uT x²+ 3x 2)

A: Given:         limx→-3x2+3xx2-x-12   Factoring                   =limx→-3xx+3x-4x+3

Q: Find the limit, if it exists. [x2 – 16 :- 16 if x>0 Let f(x) = x - 16 x- 4 if x<0 Find lim f(x) x-0+…

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Q: How do you solve question 3 and 4?

A: Given limit is

Q: Need help solving the equation that is attached

A: x-&gt;4^+ means x is slightly greater than 4. That means we have to use the part when x&gt;4 to find…

Q: the limit is negative infinity enter "-INF". x2+4x-12 lim→2 x2 –4 x2 +4x–12 lim→-2 x² –4 x2 +4x–12…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 2. a. Draw a graph with the following characteristics: lim f(x) = 3 X->2* lim f(x) = 0 %3D x-→2 f(2)…

A: The graph has the properties,limx→2+f(x)=3limx→2-f(x)=0f(2)=3limx→-1f(x)=-2f(-1)=1

Q: 3. Determine the limit graphically. Confirm algebraically. x - 1 lim x-1 - 1 1² - 3t+2 lim 1-2 1² 4…

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