Given that: lim f(x) = 5 x-7 lim f(x) = 1 x-1 lim g(x) = 4 x-7 lim g(x) = 0 x-1 Apply the properties of limits to solve the following problems: g(x) 1. lim x-7\ f(x) – 5/ 2. lim (Vg(x)+ 12) x-7

Q: If lim f(x) = 11 and lim g(x) = 30 then lim[4f(x)g(x) – 5] = %3D O 1315

A: To solve limx→94f(x)g(x)-5, use the difference rule of limits, limx→ca(x)-b(x)=limx→ca(x)-limx→cb(x)…

Q: Apply the properties of limits to solve the following problems: 1. lim (f(x) – g(x)) = x--3 2. lim…

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Q: 15. Solve the following limits (if possible): 1 1 5+x 5 a) limx→o x x³ - 27 b) limx→3 x² − 9

A: Simplification of limit

Q: Evaluate the Polloung limits ad lim メ→ 0 Ilx³– 2x²~ 9 x 3 - 10x - 8 x3 ) lim メS-0 Ilx³- 2x²- 9 x –…

A: We havelimx→∞11x3−2x2−9x3−10x−8x3Multiply and divide by…

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: If lim g(x) = 10 and lim h(x) = 28 then x5 x5 lim [2g(x)+ 5h(æ)] x5

A: Solution to the first question: Given,            limx→5g(x) = 10  and limx→5h(x) =28

Q: 1. Given that lim f(x) = 4 lim g(x) = -2 lim h(x) = 0 x→2 %3D %3D x2 メ→2 find the limits that exist.…

A: First note the properties of Limits of functions:   If fx and gx are two functions and if…

Q: Solve the problem. 1) If lim f(x) = L, which of the following expressions are true? x-0 I. lim f(x)…

A: Solved below

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

A: The given limit expression is limx→ -∞ 1-x3x2+7x5.

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: Given limx→3 f(x) = 5, limx→3 g(x) = −2, and limx→3 h(x)= −3, find the following limits a. limx→3…

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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: Given that  lim x→2 f(x) = 4    lim x→2 g(x) = −2    lim x→2 h(x) = 0, find the limits, if they…

A: limx→2 f(x)  = 4limx→2 g(x) =-2limx→2 h(x) = 0 Properties: 1. limx→c fx +bgx = limx→c f(x) +…

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: 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: Given that lim f(x) = 4 lim g(x) = -2 lim h(x) = 0, X-2 x-2 find the limits, if they exist. (If an…

A: As per our guidelines we are supposed to answer 3 subparts of a question. Kindly repost the…

Q: The limit of the function lim x → − 2 ( 2 − | x |/ 2 + x )

A: Here we have to find the value of limit limx→-222-x2+x

Q: a) Find the limits: 1- lim- X-1x-x 2- lím 0 V+4-2 5x 3- lim

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

A: It is given that gx≤fx≤hx and limx→2gx=limx→2hx=-5.

Q: Given that: lim f(x) = 5 x-2 lim f(x) = -5 x--3 lim g(x) = -1 x--2 lim g(x) = -10 x--3 Apply the…

A: To find limx→-38fx+9gx

Q: We consider the rational function f(x) = p(x)/ q(x) = 2x ^2 + cx − 4c / x^2 − x − 2 . Here c is an…

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Q: 1. Under which circumstances for an infinite limit could you ONLY state mf(X)= DNE and not say that…

A: 3. Consider a function: fx=x2,x&lt;2……1x-2,x≥2……2

Q: When the function f(x) satisfies f(1) =1,f'(1)= 3 obtain a value of lim/ (2)" -1 x→1 x² – 1

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

A: To find the limit  limx→-∞4-3x3x6+9

Q: If 2x+2 ≤ f(x) ≤ x2 +2x+2, for all x, then find lim f(x) x-> 0

A: Given

Q: 2. Find the limits. Use L’hospital's rule where necessary. Not a calculator problem! x' – 7x? +10x…

A: (i) L=limx→2x3-7x2+10xx2+x-6=00 Now Apply L'hospital rule…

Q: Find the indicated limit given that lim f(x) = 2 and lim g(x) = 4. X→a lim [5f(x) – 4g(x)] Xa

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Q: Given that: lim f(x) = 5 x→7 lim f(x) = 1 x→1 lim g(x) = 4 x-7 lim g(x) = 0 x→1 Apply the properties…

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Q: Evaluate the limits by previous methods or by L'Hospital's Rule, if applicable: a) lim- X- sin x -X…

A: We have to find the limits of the given following conditions

Q: Please show step-by-step solutions

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Q: (b) Given that lim f(x)== 2 and lim g(x) =4 , find the limit x→2 x→2 1 lim 3f(x)- Vg(x) x→2 Using…

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Q: Given f(x) = 2x^2 + x -15 all divided by x+3 find lim x -> -3^f(x) algebraically is f(x) continous…

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Q: What is wrong with the following equation?   x2 + x − 12 x − 3 = x + 4 (x − 3)(x + 4) ≠ x2 + x − 12…

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Q: Hi, can you please show me the work and final answer to this problem?Thank you!

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Q: lim f(x)=+0, then the limit lim [2² . f(x)] .. If must be equal to zero. must be equal to +00. must…

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Q: lyfical of the itemrs need to be factored or rationalied for the limits to exist) - 1. lim (x - 2r)…

A: given,        3.  limx→-4x+42x2-164.  limx→-33x2+2x-1x2+3x+2

Q: - [x² + 2 if x < 2 (x) l(x - 3)2 if x 2 2 (a) Find the following limits. (If an answer does not…

A: Given function:

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/(1+e^(1/x)) state the value of each limit. lim f(x) as x -> 0- lim f(x) as x ->0+ lim f(x) as x…

A: Given:  f(x)=11+e1/x

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) f(x) =…

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Q: 36. f(x) - 8 x-2x²x2 If lim = 3, find lim f(x) x-2

A: As per our company guidelines, we are supposed to answer only the first question, please repost…

Q: Given that lim f(x) = 4 X-3 lim g(x) = -5 X-3 lim h(x) = 0, X-3

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Q: Given that: lim f(x) = 5 x→7 lim f(x) = 1 x→1 lim g(x) = 4 x-7 lim g(x) = 0 x→1 Apply the properties…

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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: Given the function: f(x)=(x^2-2 where, x/=4). Calculate: lim x-4^+f(x)

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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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Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

Q: Find the limit of f(x) = 6 - 2 as x approaches o and as x approaches - o. lim f(x) = %3D (Type a…

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Q: (a) What is wrong with the following equation?   x2 + x − 12 x − 3 = x + 4 (x − 3)(x + 4) ≠ x2 + x…

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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.