1 Let F (x) = 1 +2 2< Find lim F (x). 2+

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

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

A:

Q: (1) If lim f(x) = 19 and lim g(x) = 29 then find lim[2f(x) + 69()]

A: Since you have asked multiple questions, we are answering the first question for you as of now. If…

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Consider two functions fx &amp; gx By algebra of limits, we have, 1. limx→a fx+limx→a gx=limx→a…

Q: 1 a. lim X-0* X

A: Given: limx→0+1x4

Q: Evalate the limit 6. lim (e + x)²/x

A:

Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

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Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: Q2 e valuat of the fallowing 2. ☺ lim L(x +3)t -16] xーース ☺ lim -25 X+5 メー5 lim |-X 3+X 9. X-3 メー] O…

A: To evaluate the given limits.

Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

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Q: f(x) - If lim x--2 x 1, find %3D lim f(x) f(x) b. lim X--2 а. X--2

A: Given, the limit is                   We have to answer the given questions.

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

A:

Q: a) lim f (x) : d) lim f(x) : x-4 x--3 b) lim_f(x)= e) VA: x--3- c) lim f(x) = f) f (x) has…

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

Q: lim x In(2x) x→0+

A:

Q: Let F(x) = = (x − 3)³ − 4 cos (x-3) Find lim F(x). x 3 + lim F(x) = x+3+ x < 3 3 ≤ x

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Q: 1. Let f(x) = lim 1-0 7x3 + 3x² °

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

Q: 23) lim f(x) x→1- f(x) 5- 4+ 3+ 2+ -5 -4 -3 -2 -1 -1. 5 х 2 4 -2+ -3+ -4+

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

A:

Q: Prove the limit statements

A: Given: fx=4-2x,x&lt;16x-4,x≥1 we know that limit of any given function at given point exist only if…

Q: Q.4: Prove or disprove, lim f(x) = 4 If f(x) = x # 2 x = 2' I-2

A:

Q: Q6.1 1 Point lim f(x) n Q6.2 5 1 Point lim f(x) 4 Q6.3 1 Point lim f(æ) 2 Q6.4 1 Point lim f(x) 4…

A:

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: 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-

A: We know that, limx→afx=l, if: limx→a+fx=limx→a-fx=l

Q: 3* –1 lim V1+x -1,

A:

Q: 2) Find lim f(x). X→1 f(x> X 2. 2.

A: here      limx→1- f(x)=1    and            limx→1+ f(x)=2 here                            limx→1-…

Q: 1/x, if x – 1 С. 1/x, if x – 1[ %3D X- -1

A: c) f(x) = 1/xx≤-1x2-2x&gt;-1limx→0f(x) = limx→0(x2-2) = 02-2 = 0-2 = -2

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: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

A:

Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2

A: E

Q: 1 Let f(x) =. 1,0sx<2 .Determine lim f(x) -x² + 4x – 3, x 22 X2+

A:

Q: 3. If f (x) = (x² – 1, if x 3 3.a) lim f(x) X-3 3.b) lim f (x) 3.c) lim f (x) X-1

A: The given function is f(x)=x2-1,if x&lt;3x+5,if x≥3

Q: d the limit lim X-3 x-2-1 x-3

A:

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: 13. lim f(x), where Sx+2 xS2 3x-5 x> 2 f(x) = 14. lim f(x), where Sx* - x +1 x 3

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Q: f(x)=(1-2x)/x, find lim f(x) approaches 3 and limit f(x) approaches 4

A: Given that the function is,

Q: x² +1 if x -1

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Q: if x 3 Let f(x) = then lim3 f(x) is x-3

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Q: x² + 1 x – 1' if x -1 | бх — 4 3x² + 4x 1 O Evaluate: lim x2/3 + Зх + 2 4

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Q: {x² +7, 14, x = 4 lim f(x), where f(x) =

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Q: b. lim -3 where c is some fixed real number. +x+c-2 x>e

A:

Q: 9. Build a table to estimate lim sin 1 (Hint: Use multiples of T) (x³ – 3x2 + +6– 2x) 10. Use a…

A: As per the guidelines we are suppose to answer only one question. Please repost the remaining…

Q: 5) lim f(x) x--2

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Q: 1-x if x 0 x+2

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

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Q: x' -x+1 Evaluate (iii) lim 5x' +7 and show work

A: The given limit can be evaluated by taking x3 as common from numerator and denominator

Q: Let f(1) = 2. lim7(x)-v2 = V2 and g(x)=arctan(xf(x)) . Then g'(1) =? x-1 1 2 3 3

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Q: limx--1f(x) Let f(x) = (x² – 1)/C(x| – 1)

A: