(a) f(-2) DNE (b) lim f(x) X→-2 DNE (c) f(0) 5 (d) lim f(x) X-0 3.5

Q: (х-а) 2. lim Vx-Va X→a

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Q: Given that f(x) = 2x² +1, find:“ f(x+h)- f(x) f(x+h)– f(x). lim h→0 h h

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Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

Q: g(x)= 7 lim x→7 √g(x)

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Q: y=fx) 3 2+ 2 3 45 6 a=3 lim f(x) = lim f(x) = lim f(x)

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Q: (d) lim (3x-2) = ∞ X-∞0

A: The given function is

Q: How can I find x?

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Q: 4 2 -3 -2 -1 3. (a) lim f(x) = %3D 21- (b) lim f(a) = 21+ (c) lim f(a) =

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: find f(x) and a lim [3(2+h) ³+27-14 h=0 h

A: find f(x) and a :use the formula , limit definition of derivative :

Q: 3* Evaluate (a) lim sin y and (b) lim y x-1 Vx +5

A: we have to evaluate the following: a)  limy→π3 siny b) limx→-13xx+5

Q: 26. ƒ(x) = 2x² − 3x + 1, g(x) = 3√x + 6 - (a) lim f(x) (b) x-4 lim g(x) (c) lim g(f(x)) x→21 x→4

A: f(x) = 2x2 - 3x + 1g(x) =   limx→4 f(x) = limx→4 {2x2 - 3x + 1}                     = 2×42 - 3×4 + 1…

Q: (c). lim 40+ (--) tanz

A: Limx-0+ (1/x)tanxFind the limit.

Q: A B C D lim /(x) = 0 x+2+ lim f(x) = 2 x →-2+ lim /(x) = 0 x+2- lim f(x) = -3 x--2 -5-4-3-2-1 Y -3-…

A: Find limit of function

Q: If 4x − 1 ≤ f(x) ≤ x² − 1, find lim f(x). x-4

A: Limit

Q: (i) Limx→∞5x−3 − 42x−2 + 9= (ii) Limx→∞(x − 3)2 x 22− 2x − 3=

A: (i) Consider the given limit as limx→∞5x-3-42x-2+9. Evaluate the above limit as follows:…

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: If lim f(x) = 4, what can you say about ƒ(1)? x-1

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

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Q: For the function f(x) = 2/x, calculate lim h->0 (f(1+h) - f(1)) / h

A: Given function:- fx=2x

Q: 2х e -1 (2) Lim (H.W)

A: To evaluate the given limit

Q: Given f(x) = 7x - 6; x < 6 x ≥ 6, 4x + 3 ; Find: lim x →6 f(x)

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Q: Use the equation f ′(a) = lim x→a  f(x) − f(a) x − ato find f ′(a) at the given number a. f(x) =  x2…

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Q: Find the limits. F(x) = 2x? - 3x + 4, g(x) = Vx+ 2 (a) lim f(x) x-2 (b) 9(x) lim g(f(x)) = X-2

A: We have to find the limit

Q: Given h(x)= Vx +9 - 3 a) Determine the value of x where h(x) is discontinuous. b) Find lim h(x). X-0

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Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: Given f(x) = x- 1 and g(x) on the graph below, find lim (g(x) + f(x)J-

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Q: (A) (B) O (C) (D) (E) Compute the following limit (A) 4 (B) DNE (C) / (D) (E) 0 √√x - 2 lim x 4 x 4…

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Q: |x-2] F(x) Does lim F(x) exist? X-2 3. %3D x2+x-6

A: We have to find

Q: (g) lim rV bx (h) lim (1+4) *

A: You have asked two unrelated questions in the same post. I have addressed the first one. Please post…

Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

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Q: f(a): 5x-2 for a <4, 4x +3 for 24. (a) Evaluate lim f(x). x-4- (b) Evaluate lim f(r). T-4+

A: