let fcx)-x2+てメー1X, five a) limf(x) メ -7 O b) lim f(x) Xー70

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

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Q: (4). lim x2 +1-x

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Q: evaluate using substitution.

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Q: Evaluate 2x² +5 lim x+1

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Q: a. Evaluate lim (3x' +7x-16). x+2 b. What is the meaning of this value?

A:

Q: 3. Explain why lim √2x - 6 does not exist.

A: 3. The given limit is limx→32x-6 Note:    Multiple questions are given, we are answer with only one…

Q: Evaluate using substitution.

A: To evaluate: limx→2(5x-12x-2) Solution: Given,limx→2(5x-12x-2) (Its not in any indeterminate form,…

Q: What is lim,-3 f(x) а. b. lim,-2 f(x) c. lim0 f(x)

A:

Q: Evaluate lim,→1 ( 고-교) 2 x-1 x² –1.

A: Given that,limx→ 11x-1-2x2-1

Q: Evaluate using substitution. lim (5x - 12x- 2) x→ -1

A: Given limit is,

Q: Find the |8z-56| lim, 7 7-I

A: We have to find the limit of: limx→7-8x-567-x

Q: What is the 2x - 6 lim x2- x2-4 - 00 00 2/3 8.

A:

Q: Evaluate using substitution.

A: The Given limit is limx→-11-8x33/2

Q: What is the value of x² – 9x + 20, lim r→4 x² + 2x

A:

Q: Evaluate using substitution.

A: To evaluate the limit

Q: . (*، مرد Evaluate + 4+ر2+ .( مرد lim و2,4+ex) (x,y.z)(0,-2,0) %2م(,

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Q: 8. Evaluate 4- y lim y+4 2 - ỹ

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Q: evaluate using substitution.

A: Limits by substitiution method is the simplest method to find out limit. In this we just need to…

Q: Determine lim(3x - 5). x----2

A: To find: limx→2 (3x-5)

Q: What is lim,+4 -32-4, R-4

A:

Q: Evaluate 23 - 7x2 +10x lim x² + x – 6 Select one: O a. -6/5 O b. -1/5 Oc. -5/6 O d. 2/5

A: limx→2x3 - 7x2 + 10xx2 + x -6

Q: Evaluate 9-x-3 lim x→0 6 3 О 1/6 -1/6

A: We need to evaluate the value of the following limit limx→09-x -3x

Q: 2n = [4x – 8| lim n→0 n + 1 2 |4x – 8|

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Q: a-limx-4(2)

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Q: Determine the 3z 1 2x 1 2x 5 lim 00 O 00 2/4

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Q: Evaluate lim,→- V4x2–3x+2 х—2

A: To evaluate limit.

Q: Evaluate 7x + 10 lim xS5 x - 5

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Q: If limx-->3 (x-4)/(2x2+ax+b) = -infinity, then what is a+b? -3 3 6 12

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Q: et* -1-4x 4х b. lim x-

A: The indeterminate form of limits is an expression that cannot be determined after the substitution…

Q: Evaluate using substitution.

A: limx→310x2-2x

Q: Explain why lim(3x² + &x) can be evaluated by substituting x = 2.

A: Let f(x) is any function and if f(x) has no holes or asymptotes then limx→af(x)=f(a)

Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: Use the definition to show that x2 + x -6 lim = 5. x - 2 4.

A: I have just used the definition of limit

Q: Evaluate: Express your answer in three decimal places. 3x-2 limx→8 2-8

A: limx→ 8x3-2x-8       00 formApply L'Hopital's rule,=limx→ 813x231Plug in the value x=8=13·…

Q: |2x – 4 lim x→2- 2 — х

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Q: Evaluate lim f1x2 and lim f1x2 using the figure. xS-00 yA y 5 f(x) 210 10 23+

A: Consider the given graph as

Q: Evaluate limx->-12     x2+12 / x2 + 27x + 180

A: We will evaluate the limit as following.

Q: Evaluate lim, o -11z²+13z 9x-

A:

Q: Evaluate using substitution. lim (2x3 - 4) x→ -1

A: Given: limx→-12x3-4

Q: -3x3 Evaluate lim Зд3 — 42 + х — – 10 - -

A: (1).    We have to find the limit: limx→∞ -3x33x3-4x2+x-10

Q: Explain the meaning of lim flx2 = 10.

A: Given statement is limx→-∞fx=10. It means that when x tends to -∞ then value of function is 10. We…

Q: Classify the statement as either true or false. lim 2 4 X4 Choose the correct answer below. true…

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Q: Evaluate using substitution.

A: limx->27x+24-x23

Q: Letfo, x-2x? find lim faz? 3x2

A: First we simplify f(x) then we use limit x→-2 .

Q: lim (x2-4) x-2 x-2 7-,

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

Q: 2) Explain in your own words what is meant by lim f(x) = 5. x→2 Is it possible for this statement to…

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Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: