5. If lim f(x) = 8 but lim f(x) does not exist, what can you X+2+ X+2 say about lim f(x)? X2-

Q: Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2

A: Given limx→0e3x-3x-14x2

Q: 3. If lim f(x) = 5 and lim f(x) = 5, what can you say about x1 X1+ lim f(x)? What can you say about…

A: Definition used -       Limit of a function -       The limit of a function at point x=a…

Q: the limits if it exists, if it does not explain why. (1) lim ()" (ii) lim

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Q: 2) Show that the_lim. 1) xy2 lim (x,y)→(0,0) x² +y²

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Q: 3 find the limit if it exists .If it do esn't exist, explain why. lim 13+x| X-> -3 2(34+X)

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Q: Find the limit. x2 - lim x3 -x 3x+2 x-0+ Does not exist 8.

A: This question is based on Limits.

Q: What is lim1 f (x) ? X

A: Find your answer below

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

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Q: 4-If. 2-x < flx) < 2Cos(x) for all x then find: lim f(x)

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Q: 1. Use the definition to show that x² - y² lim (x,y)→(0,0) x² - y² = 0.

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Q: 5. a) Explain why lim vx-3 does not exist. b) What about lim V(x 3)2 ?

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Q: B. Find the limit. Зх — 1 5. lim х-1/3 9х2-1 x3 - 1 6. lim х+1 х-1

A: As per our guidelines we are supposed to answer only 3 subparts

Q: 3 If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D x-2- limit or one…

A: A limit is the value that a function approaches as the input of that function approaches a certain…

Q: Prove using formal definition. (a) lim x→0+ 1/x = ∞.

A: Draw the graph of the function .

Q: 1. Find a) lim x3 3-x b) lim- x3* 3-x ,c) lim- x+3 3-x

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: x² – 1 lim x→1 x – 1

A:

Q: 3. Evaluate the limit of lim(x² + x + Vx + 1) x→3

A: A limit of a function f(x) is defined as a value, where the function reaches as the limit reaches…

Q: 3. Use the precise definition of a limit to prove lim(9 – x) = 5

A:

Q: 2 lim x→1- x²

A: The limit of the function f(x) is obtained as L=limx→a-f(x)L'=limx→a+f(x) Then the limit of the…

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. - (a) lim sin (2x 6)…

A: solution is given below

Q: If −x2 − x + 1 ≤ g(x) ≤ x2 − x + 1 for all x does not =0, what is lim x→0 g(x)?

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Q: V2x -1 Using defination of limits, prove that lim Jx- 3 L^ = x4

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Q: 4-If. 2-x < f(x) < 2Cos(x) for all x then find: lim f(x)

A: I applied sandwich theorem which is defined as

Q: suppose f(X)->  -250 and g(x)->0 with g(x)>0 as x->2. Determine lim->2  f(x)/g(x)

A: Given: limx→2f(x)=-250 and limx→2g(x)=0 and g(x)&gt;0

Q: 1. Evaluate the limit: 5 - x lim x→5+ (x – 5)2

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

Q: 4. If lim f(x) = -2, lim f(x) = 3, and f(0) = -2, what can X0+ X0- you say about lim f(x)?

A: Given, limx→0+f(x)=-2limx→0-f(x)=3f(0)=-2     Find limx→0f(x)

Q: 4) Determine the limit. lim 1 f(x), where f(x): X + 10 X-- 10-

A: Given, f(x)= 1/(x+10)

Q: True or false? if lim fcx) exists but Lim gx) does DぐX not exist, then lim. fox)+gox)) does…

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Q: If lim f(x) =5 x-->1- and lim f(x)=5 x-->1+, what can you say about lim f(x) x-->1? What can you say…

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Q: . Is it possible that f(2) = 5 but limx→2 f(x) = 7? If so, what kind of function can satisfy this?

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Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

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Q: Evaluate the limit  Limx-&gt;0 (ex-1-x)/x3

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Q: .7 Find the limit: lim .3 1 - x→1 x³ – 1 - 1

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Q: Suppose limy-e- f(x) = I and limx-e- g(x) = m. Prove that limxe-(3f (x) + 4g(x)) = 31 + 4m.

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Q: How do you solve question 5 and 6?

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Q: 3- If lim f(x) = 3.5 and lim,2+ f(x) = 6.5 , the function has a double sided x-2- limit or one sided…

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Q: Find the limit. /x² +3 - 2 lim X- 1 X1

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Q: 2. Evaluate the limit: 1000 lim TC lim -7)2 (8-x)3 x→8+ x+7-

A: The left-side of the limit of a function at a point is the value of the function when the value of…

Q: c) lim -4e-x

A: c) limx→∞-4e-xlimx→∞-4ex

Q: Find the limit. lim x--> infinity  e3x+5/4e3x+ex-7

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Q: 3. Show algebraically that lim x* – 2 – x = 0

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Q: 5, evaluate the limit. 2x3-x 5) lim X0 x2+3x-1

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Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

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Q: What is a limit, and what does it mean to say: lim      f(x)=1?…

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Q: 2) If 2 – x2 < f (x) < 2+ 3x² whenever -1 < x < 1, use limit theorems to find lim0 f (x). Give all…

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Q: 6 Find the value of a such that 2x2 - ах — 14 lim х-1 х2 — 2х — 3 exists, What is the value of the…

A: The limit of a function at a point 'a' in its domain is the value that the function approaches as…

Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

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Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

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Q: Investigate the one-sided limits graphically: (a) lim x→2# x – 2 (b) lim x→0± x2 (c) lim In x x→0+

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