What is limf (x) where f (x) is as shown in the table? 1.85 1.90 1.95 2 2.05 2.10 2.15 f(x) -5 -5.01 -5.25 -5.75 3.25 3.75 3.99 O 2 O4 O does not exist

Q: 3. What is lim f(x)? lim f(x)? Why? X-0* X-0 10 8 6 2 -5 -4 -3 -2 -1 3 4 5 2.

A: Given graph is,

Q: f(x) = [æ] + [-&] where the largest integer function |x| is defined by the largest integer that is…

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Q: (7 + h)² – 49 Evaluate the limit: lim

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Q: (a) Suppose you have two functions f(x) and g(x), with f(x) # g(x) and you know for f(x), ? Explain…

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Q: Evaluate lim z²-4z+3 z-3 O 1 O 3 O limit does not exist

A: Given function is, limx→3x3-4x+3x-3

Q: Find lim h(x), if it exists. X> 00 f(x) = 3x + 2x + 3 (a) f(x) h(x) = lim h(x) X> 00 f(x) (b) h(x)…

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Q: In which limits below can we use L'Hospital's Rule? lim 818 Olim 848 Olim 48 Olim €8 et X In x e X H…

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Q: lim[f(x)+ 4g(x)]

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Q: evaluate the limit lim h> 0= (1/4+h)-1/4/h

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Q: _15. What is lim f(x)? X-4 A. 0 В.1 С.2 D. Does Not Exist

A: Given: Following graph is given. To Find: 15. limx→4fx=?

Q: (– 8 + h)² – 64 Evaluate the limit: lim h→0 h

A: Consider the given function for which the limit has to be evaluated. limh→0-8+h2-64h A limit is the…

Q: (b) If we keep the first part of the hypothesis of Theorem 5.3.6(L’Hospital’s Rule) the same but we…

A: We have given that;

Q: 1. Evaluate the limit for the graph lim f (x). x→1" f(x) 51 4- 3 2 1- -3 -2 -1 1 2 3 4 -1 а. 1 c.…

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

Q: f(x) = x²+13z+40 x+5 %3D f(x) f(x) -5.1 -4.9 -5.01 -4.99 -5.001 -4.999 Based on the above, what do…

A: Given ,limx→5x2+13x+40x+5

Q: 2. What is lim f(x)? lim f(x)? Why? 10+ 8- 6. 4+ 2 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 4 1 2 3 4 5 6 7 8…

A: Given: The graph of fx as To find: limx→0+fx and limx→0+fx

Q: d. What is the value of limr0 g'(x)? What does the value of this limit tell you about the long-term…

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Q: 5 In(x) is 4х The answer to lim x-00 Select one: а. 4/5 b. 1 16 С. -1 d. that the limit does not…

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Q: 5. Let k(x) = + 3. %3D 2+e 5.1. What is limx→-ok(x)? 5.2. What is limx++k(x)?

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Q: 4. Suppose that lim (x) = 1 and lim g(x) = 2 then find g(x)– 4 f(x) the value of [f(x)} +3g(x) lim…

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Q: The table gives the values of g near 3, but not equal to g. Use the table to estimate lim g(x) = X-3…

A: The given table is,

Q: ( 4, 0 < x < 4 1 5, 4 < x < 10 S 4, 0 < x < 4 x→4 5, 4 < x < 10 Use the graph of f(x) = to evaluate…

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Q: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

A: As shown in figure, As x tends to -2 from left , f(x) tends to negative infinity . That is…

Q: 3].. Use € Use e – 8 definition of a limit of function to show that: 2x = 1. x→1 1 + x a) lim X- b)…

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Q: Evaluate the limit lim[e2"+1– 2e*]. x-0 -1 This limit does not exist. O 1

A: Using formula of limits

Q: Vx? +8 – 3 | Evaluate the limit: lim x→-1 x+1

A: Given:  Let y=limx→-1 x2+8-3x+1 To Find: To evaluate the given limit.

Q: x-1 1. Complete the following table of values to investigate lim,0 x+1 f(x) f(x) -1 1 -0.8 0.75…

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Q: x², x<0 2x – 2, 0<x s 3 3*, 3<x<4 Evaluate lim f(x), where f is defined by f(x) = X-2 9, x24

A: Since, x=2 is not a boundary point for the given piece wise function, the definition of the function…

Q: 6. Given the graph of g(x) below, evaluate lim (g(x)) x→4 -3- -2- 4 -1- DNE (does not exist) 4 -1…

A: Thats easy. Have a good day!!!

Q: 2 ež h(x) 1 - 4 What is lim h(x)? x→+∞

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Q: (A) Find the following Limits. x + 5 2. limy-3 f (x) if f(x) = }2x²+4 , x 4

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Q: 6. If f(z) = 4 then lim f(x)- 12

A: Using limit ,

Q: The function values for h(x) near x = 3 are given in the table below. 2.90 2.95 2.99 3 3.01 3.05…

A: Given Ltx→3-hx=1.45         Ltx→3+hx=2.45         Ltx→3hx=2.45 From table

Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

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Q: Determine the value for c so that lim f(x) exists. x→5 1 f(x) 5*+c, for x 5 The value of c is. II

A: Given function: fx=15x+c,     for x&lt;5-x+9,      for x&gt;5

Q: 4- 2- -6 -4 -2 6. -4 Given the graph of f(z) above, find the following limits. To enter 00, type…

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Q: V+4 -2 Use a table of values to estimate the value of the limit of lim f(x) S(x) 2.

A: Evaluate the limit function

Q: If lim g(x) = 13 and lim h(x) = 23 then %3D [39(x) + 6h(x)] lim x6 2 O 26 O 88.5 O 46 O 36 O 19

A: The limit of a function at a point exists if both left-handed and right-handed limit exist and are…

Q: x2+ 2x – 3 In evaluating lim X - -1 which of the following statements is the best answer? 2x2 – x -…

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Q: 6. Given f(x)= { 3, if x < -2    x, if -2 ≤ x<8    x+3, if x≥8  estimate lim f(x) x→−2     a.-2…

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Q: Find the indicated limits if it exists. lim Vx-3 x-9 x-9 [ Write your answer to three decimal…

A: Yjhg

Q: 2 Evaluate the limit lim (Gi)G T-1 I+2 3x +5

A: Here we find the value of limits.

Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

A: “Since you have asked multiple questions, we will solve ONE question for you. If you want any…

Q: 3. What is lim f(x)? lim f(x)? Why? X-0 AY 10 8 6. 5 -4 -3 -2 2 5 3. -1

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Q: f(x+h. f'(x) using the definition lim h-0 O 26x + 30 O 5z + 13 O 5x O 10x + 13 O 10z

A: for the function f(x)=5x2+13x+30 find f'(x) using the definition limhf(x+h)-f(x)/h 26x+30 5x+13 5x…

Q: Find the limit for the function below: S 8X -356 OS X 200 P(X)= 8x-225 200 <X? 350 lim x-→190 P(a) =…

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Q: 4. Evaluate the following limits. 2* a. lim 3x² -3/x e b. lim x+0 x² 2 In5 x c. limx→→+00 x² 1000 In…

A: This question is related to topic limit of function.

Q: 2. What is lim f(x)? lim f(x)? Why? X-0" X-0* Y 10 8. 6+ 4- 2- -10 -9 -8 -7 6 -5 -4 -3 -2 -1 4 1 2 3…

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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: Is the table appropriate for approximating lim gx)? If not, why? -7.1 -7.01 -7.001 7.001 7.01 7.1…

A: We have to check weather the given table is appropriate for approximating the givne limit or Not .

Q: Suppose that g(x) < f(x) < h(x) for all x 2 and suppose that lim g(x) = lim h(x) = -5. Can we…

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