Let f(x) be given by x²+1 if x< 2 f (x) = { 5 if x = 2 - 3x +1 if x > 2 Find lim f (x) X-2

Q: Find the limit for when x -> 4 lim F(x), for f(x)= x2+2 ; x≠4 ; 27; x=4

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

A: Given limx→0e3x-3x-14x2

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

A: This question is based on Limits.

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

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: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

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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: The process by which we determine limits of rational functions appliesequally well to ratios…

A: Solution:Givenlimx→∞ x-34x2+25To find the limit valueFormula:ab=ab

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

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

A: Draw the graph of the function .

Q: find: a) Lim x4-1 x2 b). Lim 10x-3 SinX

A: We have to find the following limit      alimx→1x4-1x2-1       blimx→010x-3sinxx

Q: x² – 1 lim x→1 x – 1

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Q: f(x)= (x^2-2 where, x/=4). Calculate: lim x-4^- f(x)

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Q: Let F(x) = (x2 + 3x + 2)/(2 - | x | ). Make tables of values of F at values of x that approach c =…

A: Given: Fx=x2+3x+22-x To determine: We have to estimate limx→-2Fx by making a table of values of F at…

Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2…

A: Consider the given function:

Q: 1. Let f(x) = lim 1-0 7x3 + 3x² °

A: The given function is: f(x)=limx→0x27x3+3x2

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

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Q: (x)- f(1) lim f(x) = 2 , where x-1 х-1

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Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

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Q: (a) lim x→2 arctan(7-3x)-" 2х-4 4 (b) 10-e5x lim x→00 16-x2

A: See the calculation and explanation below

Q: 5) Does the limit |x+1| lim x-1 x+1 exist? If yes, find its value, if not - explain why. Show all…

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Q: ® Find Lim X->2 x¥ _ 2x² - 8 x² - 4 (2 ,X +2 Lim 3X X→3 X- 3 -3 X+3 O Lim © Lim t- fo -) ,X EO X+2 2

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

Q: What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

A: Solve for the limit

Q: [3 3. Consider f (x) =- 2х - 3 if x< 0 Find lim f(x) if x20.

A: To determine the limit of the function.

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

A: Given

Q: 1. Determine the lim f(x) if f(x) : = {x*. if #2 lo, if x = 2 2. Find lim f(x) if f (x) = 2*

A: (1) Given that, f(x) = x2 ; if x is not equal to 2 f(x) = 0 ; if x = 2 Then we get, As x -&gt; 2,…

Q: Find the limits limx→1+x1/(x-1)

A: limx→1+xx-1

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: 5. lim V2x +1 X-4 6. lim -) ズー1 x-1 CABA 3x+4 if x <-3 AT 7. lim f(x), where f(x) = 2-4 ifx2-3

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Q: When finding the limit  lim x2 +5x+1/3-2x x-&gt; infinity How do I find the limit?

A: Evaluate

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: a) lim- 1 3x +x+1 -x +5x b) lim f(x) where f(x)={ (4x xs2 3x x>2 sin 2x c) lim g(x) where 2+x < g(x)…

A: alimx→∞−x2+5x3x2+x+1Divide and multiply by x2limx→∞x2−x2+5xx2x23x2+x+1x2limx→∞−1+5x3+1x+1x2=−13

Q: Evaluate the limit: lim --> 0 (ex+3x)1/x

A: It is an indetermined form of questions in case of limit. Which will be solve easily by below given…

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

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

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Q: The function f(x) of the below graph is discontinuous at x = -1 because: a) f(-1) does not exist b)…

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Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

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: c) lim -4e-x

A: c) limx→∞-4e-xlimx→∞-4ex

Q: —ах+6 if x2-1 Let f(x)=< For what value of a does 2x2 +ах ifx<-1 lim f(x) exist? x--1

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Q: f(x+Ax)-f(x), Ff(x) = v2x + 1, what is the lim Дх--0 Ax

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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: 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: Find the limit. lim(v² + x = x) = lim( Vx2 + x – x

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