x²-x-6 Evaluate the following limit for the function f(x) = %3D x²-4x+3 lim f(x) = %3D x - 3

Q: (5x - 4)² 1) Let f(x) (9x + 16)² The limit as x approaches infinity is

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: |2x–1|-|2x+1| f (x) = (a) Find the domain and the range of f. (b) Does the limit lim 20 f (x)…

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Q: (a) lim [f(x) + 3g(x)]

A: Given:  limx→2  fx=1,  limx→2  gx=-2,  limx→2  hx=0 To Find:  limx→2  fx+3gx=?

Q: x=-1 x=1 x%32 -2 EVALUATE lim f (x) x-1-

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Q: x-1 1. Determine the limit of- x2. 32-1 /x² as x approaches 1

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Q: r-x-1 Find the limit: lim- Vx+1 Use oo or -o for your answer when appropriate.

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Q: x-5 lim x+5 x2- 25 Find the limit

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Q: x2-4 lim %3D 3. Find the limit (if it exists). X2 x-2

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Q: Find the limit lim x→∞ (1+5/x)x lim x→0 ((e2x-1-x)/x2)

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Q: x²+4x x-4 x²+3x-12 Evaluate the limit: lim

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Q: Vズ-1 The limit of x-1 ズ→1 x-1

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Q: Зх-1 Зх-1 lim (Make a change of variable t = and reinterpret the limit in terms of t) x+1 9. x+1

A: Given:

Q: x-4 Evaluate the limits lim: 00 -4 1

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 64 lim…

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Q: x²-3x-28 Let f(x) = X-7 Find a) lim f(x), b) lim f(x), and c) lim f(x). X-7 X-0 X-4 a) Select the…

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Q: x + 2x-35 Evaluate the limit: lim エ>5 2x + 10

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Q: X- 4 Analyze the following limits and find the vertical asymptotes of f(x) = x2 - 16 a. lim f(x) b.…

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Q: (x2 - 16 ; if x>0 X + 4 13) Let f(x) = 1 x2 - 16 if x < 0 x - 4 Find lim f(x). X-0 A) 0 B) - 00 C)…

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Q: 2x2 - 9x-5 Let f(x) = Find the indicated quantities, if they exist. x +x- 30 (A) lim f(x) (B) lim…

A: We have to find the limit

Q: Limits a table of values for the function and use the result to explain why the limit does not…

A: 21. limx→041+e1x22. limx→03xx2 Note:   Multiple questions are given, we are answered with only one…

Q: f(x) - 7 - = 5, find lim f(x). (a) If lim %3D X- 6 X6 X-6 f(x) - 7 (b) If lim = 6, find lim f(x).…

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Q: x - 2 Draw a sketch of the graph of the function f(x) = - x² -1 if x 0 (a) lim f(x); (b) lim f(x);…

A: Function is not continuous at x=0

Q: lim 11xei - 11x X00 Enter -inf if your answer is -0, enter inf if your answer is o, and enter DNE if…

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Q: x - 2x - 15 Let f(x) = Find a) lim f(x), b) lim f(x), and c) lim f(x). x+0 x-5 X5 X-3

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Q: Please evaluate the limit.

A: Given,

Q: Vx² Evaluate the limit: lim +8–3 x+1

A: Explanation of the answer is as follows

Q: 3x+5, p) The function f(x) is defined by f(x) = • If lim f(x)exists, what is th 1- 2x+b;if x>1

A: If the limit of the function exists , then left hand limit is equal to right hand limit. therefore…

Q: f(x + Ax) - f(x) Find lim Ax - 0 Ax f(x) = 3x2 - 9x Step 1 Find f(x + Ax) by substituting x + Ax in…

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Q: x²-9 Find the limit (if it exists) lim x-3 27-x3 A. B. 9 C. 0 D. DNE

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Q: lim f(x) x-1- O-2 4 O The limit does not exist.

A: Given that  Lt(x tends to 1) f(x)

Q: 2-3x+2 X-1 · Evaluate the limit, if it exists: lim O A) -1 O B) 1 O C) o D) does not exist

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Q: x²-9x + 20 Find lim 3 as x - 5x2 d. x 5 a. x 0* e. Determine what, if anything, can be said about…

A: We are solving the first three subparts and for the next subparts post the question again and also…

Q: 2x2 ) 3x Evaluate the given limit of lim if it exists. 1 x +1 O 1 O limit does not exist 2

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Q: 2. If lim f (x) = -3 lim g(x) = -10 and lim h(x) = 6, then find the following x→7 x→7 x-7 a. lim…

A: Given limx→7f(x)=−3,limx→7g(x)=−10,limx→7h(x)=6

Q: x²- 3, x<1 4, x =1 lim f(x) = a. X→1 23. For f(x) = - 2x, 1<x<2 b. lim f(x)= |-x³ +8, x22

A: First we have to choose function for the given limit  Then insert the value of x in the chosen…

Q: find the limit if it exists if it does not exist explain why. If: x² +x - 6 |x-2| g(x)%3D a) Find:…

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Q: x3 +2x2 x2-2x Let f (x) = , Find lim f(x)? x2-4 3x2 X--2

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x3 - 1 lim…

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Q: 3x + 5, 4x- 2, Let f(x) = x 4 Find each limit (if it exists) a). lim f(x), b). lim f(x), c). lim f…

A: Consider the given function fx=3 x+5,      x≤44 x-2,       x&gt;4

Q: x2-1 1. Evaluate the limit of - as x approaches 1. х2+3х-4

A: We have to calculate value of given limit.

Q: x2 + 16. x< - 16 Let f(x) = Compute the following limits or state that they do not exist. Vx + 16,…

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Q: x2 + 2x- 24 Evaluate the limit: lim x4 x -4

A: Let L=limx→4x2+2x-24x-4

Q: 15.lf f(x)=Vx f(x)-f(16) The lim x→16 x-16

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Q: 3x? - 4x Limit of a rational function Evaluate lim xS2 5x - 36

A: We have to find the limit: limx→23x2-4x5x3-36 Since this is determinate limit so we just have to put…

Q: (x³ + 2 x +2 if x2 -1 if x < -1 7. Explain why lim f(x) does not exist for f(x) = {*"* %3D X-1

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Q: x-3 3х + b x-2 if x 2 Determine a value of the constant b for which lim f(x) exists and state 12.…

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Q: x2 +5x + 6 lim x - 1 x2 +5x-6 lim x→1 X-1 lim x→-1 (x + 1)² 21 x→1 4. the If the limit does not…

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Q: x3 -8 The value of lim 3 is the same as х-2 X+ 2 A) the limit does not exist B lim Vx2 – 4 | X+ 2 x²…

A: The solution of the problem is given in the next step.

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 36 lim…

A: The given limit is limx→-6x2-36x+6

Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.