2² – 1 For F(x) = find lim F(x) |I – 1| O DNE O 2 O 0/0

Q: (х-а) 2. lim Vx-Va X→a

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Q: |x+1| if x + -1 13. Consider the function f(x) = {x² - 1 Evaluate lim f(x). if x = -1 A) - C) DNE B)…

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Q: Use (8) definition to show that lim 2-0 Z 0.

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Q: 9 (y) -1.0% DNE [y²+5 ify<-2 1-3y if y2-2V lim g (y) lim 9 (y) (a) lim g (y) 1-3y if y2-2. 17 (b)…

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Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

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Q: If Зx <f(x) < х +2 for 0 <x< 2, find lim f(x). х—1

A: Result used:

Q: xy Let f(x, y) : and let L = lim(2,y)>(0,0) f(x, y). Which of the 8x2 + 9y2 following statements is…

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Q: ist . Find lim f(x) x-2+ O A. 1 OB. -2 V OC. 4 . S to .. ut .

A: Given graph:-

Q: Evaluate the following limits. lim(Vx? +4x+1-x) a. lim tan (1/x) 1oitonh b. c. lim x cos x->0+ 2

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Q: Find the value of lim f(x), if x→4+ x 4 8х + 3 f(æ) = O 24 O 21 9. 41 37

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Q: s(x) = - V – 1 100 10! 102 103 F (x) 104 105 106 f (x) lim

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Q: The function f is continuous for all real numbers. If lim f(x) = 0, then what is lim xe-2x)? x-2 x-1

A: The function f is continuous for all real numbers  If limx→2f(x)=0then if we put x=2t then…

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: Find the value of lim f(x), if x→7+ S8x + 2 x 7 f(æ) = 45 9. O 16 O 87 O 57

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Q: 13. Sketch the graph of f (x) = }" Sx² + 1 if x -1 and use it to evaluate lim_ ƒ (x) and X→-1- lim…

A: Given that: f(x)=x2+1    if    x≤-13            if     x&gt;-1

Q: Find the value of lim f(x), if x→5+ S7x + 5 Зх + 4 f(x) = x 5 O 12 O 7 O 19 O 35 O 34

A: This question is related to limit .

Q: 2 ež h(x) 1 - 4 What is lim h(x)? x→+∞

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Q: The graph below is the function f(x) -4 -3 -2 -1 lim z→ 3+ 4 3 2 1 -1 -2 -3 -4 Determine the…

A: Find the limit from the graph

Q: If f (x) is continuous e (a,b], we define | f (x) dx= lim | f(x) dx . on Xa+ A True B False

A: Solution

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: k lim (1+†) k→∞ k

A: We have to find limit

Q: Let f(z) = { - 4 + 9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02

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Q: x²-49 X-7x²-7x 2. Evaluate lim: 3. Evaluate lim √x+1-3 X-8 x-8

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Q: (3x-7 x21 lim f(x) = 19. (x)= r+4 x<1 %3D

A: 19) The given function is fx=3x-7x≥1x2+4x&lt;1 To find: limx→1-fx

Q: lim 2x 3e +5e 2x e -e -X -X = 5. =

A: limit forms are:-    0/0 , ∞/∞

Q: if x 0 —2х — 3 Evaluate the lim f(x) where f(x) = x→0 х — - 3

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Q: Enter each answer as a whole number (like -4, 0, or 253) or D

A: Given,