2.6.19 Question Help Find the limit of the rational function (a) as x>o and (b) as x-oo. Write oo or - oo where appropriate. 5x3+9x+7 f(x) 4x9 lim fx) Xoo (Simplify your answer.)

Q: 65. Is there a number a such that 3x2 ax a + 3 lim +x-2 exists? If so, find the value of a and the…

A: Refer to the question, we have to find the number ‘a’ such that limit exists .

Q: n 1º, find the limit or explain why it does not exist. x? – 4x + 4 9. lim ³ + 5x² 14x b. as x→2 a.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Oす O The limit does not exist. 0-2 -2 4. 3- 2- 54-3-2 2- 3. For the graph shown, what is lim f(x)?

A: The solution are next step

Q: 32 Evaluate the limit, if it exists. (x + h)³ – x lim 3 h

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Q: Evaluate the limit of x approches 0 on the function (2e^(9x)-2)/(7x)

A: The given limit of the function to be evaluated is,

Q: 3. Use L'Hôpital's Rule to find the limit. 2x2-3 x2+6x-16 a. lim x- 00 5-4x2 b. lim x2 x2+x-6

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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: Find the limit of the rational function a. as x→o and b. as x→ – o. x+11 f(x) = x° + 12 x+11…

A: Given:   To determine:

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (x² - 37) = -1…

A: This is a problem related to limit calculation. Based on epsilon-delta limit we will answer.

Q: x²-16 8. lim x-4x²+9x+20

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Q: What is the limit of 3x4 as x approaches ? 1 2 12 evaluated 2 3 16 0 1 16

A: Given problem:- limx→12 3x4

Q: Find the limit. |x+ 4| lim (x +3) x+4 X→ - 4+ O A. 1 О В. - 1 О с. 7 D. The limit does not exist.

A: Given: limx→-4+x+3x+4x+4

Q: 4. State if the following limits exist or not. If it exists, state the limit value. (a) lim 1-2+ x2…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: 2. (a) (5) What is wrong with the following statement? "The limit of the product of 2 functions is…

A: Given that limit of  product of two functions is the product of limit of two function

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

Q: 4. Vic and Joey argue about the limit of the function f(x)=1/x as x approaches 0. Joey's opinion is…

A: Claim of Vic is correct, because as per the definition of limit  By evaluating the left hand limit…

Q: 1. Find the limit, if it exists. If the limit does not exist, explain why. 8x³+2x+1+x+2 (b) lim 5x +…

A: Solution: The objective is to find the given limit

Q: 5.2 Evaluate the following limits. If the answer is infinity, clearly designate if it is +oo or -o…

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Q: What is the value if a so that f(x) has a slant asymptote of y = x + 3. x²+ax+5 What is the limit of…

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Q: 5. This is the graph of h. What is the reasonable estimate for the limit of h at x = 3? А. 2 В. 3 C.…

A: Choose the correct option.

Q: If the limit of g(x) as x approaches 2 is equal to 7, then g(2) must equal 7.

A: Given data:     The given function is: g(x).     The expression for the limits of the given function…

Q: Which is the limit of f(x) as x gets closer and closer to 3 in this graph? * 5. 4 3. 1. 5 -4 3. 2 3…

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Q: 7 3 Consider the function:f (x) – g (x) = In a 5x-5 What is lim [f (x) – g(x)]? x→1+ Note: For…

A: we have to find the following limit

Q: 10. Find the limit if it exists. 2.х2 — 9х — 5 lim +5 х2 — 12.х + 35 -

A: Solving the problem by L'Hospital Rule to find the limit.   NOTE :: As per our Expert guidelines we…

Q: 3. Evaluate the limit algebraically or explain why the limit does not exist 3r2 – 2x – 8 lim x² – 4

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Q: x2-1 5.) lim x-1x2-3x+2

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Q: 3. Evaluate the following limits, if they exist: 1 (a) lim 1 +3 2x x→-0

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Q: 2O Find the limit of the rational function. lim 25+7-8in 5r 6) Find the Value of flo) such that flx)…

A: 2. a. Given: From the given expression, Thus, the limit of the given funtion is 1/2.

Q: (7) Find the following limits. Show how you get your answers. If a limit is oo or -0, say so. (a)…

A: alimx→∞x2+4x-xblimx→∞4x2-9+25x-3climx→0+exsinx

Q: 2 х+ 3x —8 - What is the limit lim X 2- x2 - 4 O (-) infinity O DNE O + infinity

A: Solution is given as below:

Q: 5. Evaluate the limit of (x^3-2x^2-x+2) /(x^2-4) as x approaches 2. a. a b. % с. 2/5 d. 4/7

A: Note: Since the student has posted multiple questions but first question (question number 4) is…

Q: (2) Referring to the attached graph, the limit of the function as a approaches 2 from the right is…

A: Suppose that for a function f, the value of f(x) can be made arbitrarily close to "L" by making 'x'…

Q: 9. Evaluate the following limits, using any appropriate technique. Full solutions must be shown If…

A: Ans A explanation:

Q: Use numerical or graphical evidence to determine the left and right hand limits of the function. |4…

A:

Q: 7. Find the one-sided limit, if it exists. x-9 lim x+6 x+6- O -15 - 4 O -6 O 9 O The limit does not…

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Q: 9. Evaluate the limit of (x-2)(x^3-8) as x approaches 2. а. а b. 1/12 с. 0 d. 2/3

A: As per our guidelines we are supposed to answer?️ only 1 question. Kindly repost other question as…

Q: Evaluate one of the limits L'Hopital used in his own textbook in about 1700. Here a is a real…

A: evaluate limx→a 2a3x-x4-aa2x3a-ax34

Q: 4х +2 Find the limit of f(x) as x approaches o and as x approaches - 0. 7x +5 lim f(x) =| (Simplify…

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Q: 1. Without a table of values and without graphing f(x), give the values of the following limits and…

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Q: 5. This is the graph of h. What is the reasonable estimate for the limit of h at x = 3? A. 2 В. 3 C.…

A: Dear student. You have posted many questions. In our policy, i have answering the first question. If…

Q: 24 Use a computer graph of the function to explain why the limit does not exist. 3 xy³ 24. lim (x,…

A: 3D plot from W.alpha 3D plot from G.gebra

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (x²+x-3) = 3 x-3…

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Q: 3. Evaluate the limit. You don’t need to state the properties. 2x2 — х — 3 lim x--1 x2 + 5x + 4

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Q: Jse numerical or graphical evidence to determine the left and right hand limits of the function. |3x…

A: Limit

Q: a. lim (2r – 6x + 5) b. lim (2x² + 4x + 1) с. lim ix² + 4

A: As per the company guidelines we can solve first three parts. I hope that the given solution will…

Q: Find the limit of the rational function a. as x→x∞ and b. as x→-. x2 + 11 f(x) = 3 x° + 15 2 + 11 a.…

A: a)

Q: Which one is correct, and which one is wrong? Give reasons for the answers. X-3 1 = lim - =- X-3 (a)…

A: Given: limx→3x-3x2-3

Q: 37 5 If f(x) = 2x + 5x then 3 lim f(r) =

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Q: Question -4xª –8x³ –4x 2 What is the limit as x → +o of f(x) = -3x5+2x² –3

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