Question 14 What value of will the lim f(x) exist if f(x) = x+1,xs a (A) a-I and a-2 B) None of the given choices a= -1 and a = -2 D a--I and a-2 (E) a-l and a--2

Q: Question-10 x² +5x + 6 x² - 4 If f(x) = then answer the following: a) lim f(x) x-2 b) State whether…

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Q: tan (x) Evaluate the lim A. -1 В. О С. 1 D. e

A: To evaluate the limit limx→0tan(x)x limx→0tan(x)x=tan(0)0                =00 This is of the…

Q: x-9 Q.4 Let f (x)={ x+3 ,x#3 Find the value of k for which limf(x)=f(3). k,x 3

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Q: Question 3. Construct examples such that lim(p, + qn) limr, + limyn

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Q: Question 2. Find the limit, if it exists, or show that the limit does not exist. (a) 4xy (2,3)—(0,0)…

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Q: Question 24 x²– x + 5` Determine the lim if a = 3. (use 3 decimal places no space) x²+ 1 Add your…

A: We have to find

Q: 2х — а, х < -3 Find the values of a and b so that lim f(x) and limf(x) both exist given: f(x) = {ax…

A: The objective of the question is determine the value of a and b for which limits exist.

Q: Question 15 The lim f(x) exists if and and only if A) lim f(x) = lim f(x) -0- B. lim f(x)= lim f(x)…

A: The objective of the question is choose the correct option.

Q: Question 2 Write a simpler function that agrees with the given function at all but one point. Then…

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Q: Question 3 Let x – 1 2? – 4x + 6 if x > 2. if x < 3 f(x) = { Determine 3.1 lim,+2- f (x). 3.2 lim,2+…

A: The given function is -  f(x) = x-1if x&lt;3x2-4x+6if x⩾2We have to find the following - (a)…

Q: Question 30 x1? A) 1 B) -1 D does not exist E) None of the given choices

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Q: Find the values of the constants c and k that the function make lim f (x) and lim f(x) x-2 X-1…

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Q: Question 3 or show that the limit does not exist. a) b) [ Find the limit, if it exists, lim (x,y)…

A: We have to find the limit.

Q: Question 8 = 1 and lim,→a g(x) |8(x) If limx→a ƒ(X) = 0 then, we must have limx→a [f»]«® = 1 True…

A: We are authorized to answer one question at a time ,since you have not mentioned which question you…

Q: tan r 1 The value of lim is Select one: O a. а. е O b. 1 O C. -1 O d. 0 /-

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Q: Calculus I Evaluate lim x→1 f(x) where the graph of f(x) is.

A: Right hand limit:  the mathematical expression lim fx→a+x represents the value that the graph of the…

Q: x2 -4 (a) Let F(x) = x-2| (i) Find lim,2+ F(x), lim→2- F(x) (ii) Does lim→2 F(x) exists? (iii)…

A: Fx=x2-4x-2 Now, define the modulus of denominator. x-2=x-2,       x≥2-x-2,  x&lt;2 (i) The value of…

Q: a² +x – 6 + a |æ – 2| if x 2 - 2| 2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Question 3 of 10 1 f(x)=-1 →2 Given find the following limit lim 7f(x)-g(x)² g(x)+1 lim g(x)=1 use…

A: This question can be solved using the concept of properties of limit.

Q: -∞ 1 O -1 -1 (x-1)² Let f be the function given by f(x)= What is lim f(x)? X→1

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Q: Question 20 1 Let f(x) According to the definition, 10 4x - f'(r) = lim h 0 (Enter the expression in…

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Q: (b) f(a + h) – f(a) f'(a) = lim h - 0 h ( (a + h)? )- 7e + 1) +2 - (a? - 78 + 2] - 7(a + h) + 2 =…

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Q: Question 3 a) b) [ Find the limit, if it exists, or show that the limit does not exist. lim…

A: a)limx,y→0,07x2+2y2yb)limx,y→0,049x2-98xy+49y27x-7y

Q: Question 20 > The graph below is the function f(x) 5+ -5 -4 -2 -2 -3 -4 Find lim f(z) I-1 Find lim…

A: Left-hand limit: The real number line is usually represented with values increasing from left to…

Q: (a) lim f(x)= (b) lim,-2+ f(x) = (c) lim f(x) =, (d) Is f'(3) is positive, negative, or zero? (e) Is…

A: We will solve the problem

Q: Question 10 <. Which of the following is/are signified by lim f(x) = c0? OThe value of f(x) becomes…

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Q: Question 1 Let f(x) be defined as follows, where k is a constant. 2x2-8 if x # 2, 2x -4 f(x) = %3D…

A: (a) The function is defined as follows: fx=2x2-82x-4=2x2-42x-2=x2-22x-2=x-2x+2x-2=x+2

Q: Question 18 x²+ 2x – 3 if x2 2 The value of lim f(x) if f(x) ={ 6-x x-2 if x<2 2 A) 5 B) 2 c) 3.5 D)…

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Q: Question 12 of 12 >> Find all values of e such that the limit exists. lim x² + 6x + c x-1 (Give your…

A: The given limit is: limx→1x2+6x+cx-1 To find all values of c such that the limit exists.

Q: Problem 7 Proof that if lim f(x) exists then it must be unique i.e., x→a if lim f(x) = L and lim…

A: limx→af(x) exitsif limx→af(x)=L and limx→af(x)=M then L=M

Q: 1. lim x→-1 2. lim x →-00 1+ x 2x²+x-1 :-√√x² √√x² + x x- 2 x - x

A: Given:     limx→ -11+1x32x2+x-1

Q: Question 16 3 Points f (x) – f (2) The value of lim if f (x) =2x²+1 X-2 x- 2 А B 4 8 D) does not…

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Q: -2 xs-1 @ Consider the function f(x)=x² -1<x<1 Ⓡ 2x-1 x21 Ⓒ a. Sketch f(x). b. Evaluate f(x) for x =…

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Q: QUESTION 6 6.1 Evaluate the following limits: (a) lim (x² +x) (3x³ + 6) (Ъ) lim Vu?+ Зи + 6 (Ь) u--2…

A: As per Bartlebys answering policy we can answer only one question with a maximum of three subparts,…

Q: -7 -1 3 5 -1 -2 -3 -4 ー5 -6- -7 -8- de your answer below: a. lim f(x) = xラ-6 5. lim f(x)= O

A: Given:   Graph is given

Q: Į1 – x², 12, b. Find lim,→1* f(x) and lim,→1- f(x). c. Does lim,→1 f(x) exist? If so, what is it? If…

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Q: Question 3 > x2 – 25 Use the function f(x): to fill in the table: 5 f(x) 6 5.5 5.1 5.01 Based on…

A: We have to find out

Q: Let ƒ(x) =

A: Given, The piecewise function is f(x)=3-x , x&lt;22       , x=2x2     , x&gt;2

Q: Question 9 Use the function and graph to answer the questions about existence, limits, and…

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Q: |x+3|+4, x 0 1. Let f(x) = 1, %3D x +1, Evaluate the following if they exist. If not, explain. (a)…

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Q: Question Number 1:                                                                       Sketch the…

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

Q: Question 2 a) b) 2z¹y Consider the function f(x, y) = ¹²- 2²-9y² Find the domain of f and provide a…

A: (b) It is given that,  f(x, y) = 2x4yx8-9y2 We have to find  lim(x, y)→(0, 0)f(x, y) or to show that…

Q: 2) Let f be a piecewise-defined function given by: (4 log,(x) + VAx -8 3 sin(x) +2 if x>3 f(x) = if…

A: solution:-f(x)=4log9(x)+4x-83sinπx+2x,     if x&gt;312,                             if…

Q: figure 1.1.3 10 lim f(x) = r-8+

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Q: Question 8 Saved If limx→a f(x) 8(x) = 1 and limr-→a g(x) = 0 then, we must have limx→a = True False

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Q: -2 Consider the function f(x)=x² 2x-1 xs-1 A -1<x<1 Ⓡ x21 Ⓒ a. Sketch f(x). b. Evaluate f(x) for x =…

A: Please find the answer in next step

Q: Question 3 of 10 ♫ lim f(x)=-1 -2 Given find the following limit 3/7f(x)-g(r)² g(x)+1 and lim g(x)=1…

A: The given data is: limx→2fx=-1limx→2gx=1  Use the property of the limits to find the value of the…

Q: Let ƒ(x)

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: x +x if x > - 1 x+ 3 if x < - 1 3. If f(x) = *, then the lim f(x) is: x-1- x2 - | a) 2 b) 0 c) 3 d)…

A: Question is asked to find only Left hand limit. Use limit to f(x) = x+3

Q: Question 11 (CLO-2) Evaluate lim f(x) where (3x-4 if x2 02 O does not exist O 10

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