Answer the following True or False: f(x) I 00 g(x) f(x) If lim 3 with f(x) and g(r) both polynomials then lim also equals -3- %3D O True O False

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

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Q: Vx2 + x lim x→o X + 1

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Q: Vx² +4 - 2 Find lim x->0

A: Consider the given limit limx→0x2+4-2x So, limx→0x2+4-2x=00   Apply L'Hospital's rule:…

Q: 2.x2 + x – 2 7. Compute lim Justify your answer A number is not 7x2 – 3x +1 enough.

A: The objective  is computing the above limit.

Q: Find Lim z-2Z+4 2. -im. Z-1-13i

A: This question is related to limits, We will solve it using given information.

Q: x3+27 b. lim x--3 x+3 hint: a3 + b3 = (a + b) (a2 – ab + b2)

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Q: y2. lim y²-4 y-4 y-2 ソー2 lim (x2 + 3x)

A: Limits Definition Let us consider a real-valued function “f” and the real number “a”, the limit is…

Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

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Q: True or False: lim O False O True 2² + 3x - 1 14-2 2-9 3 11

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Q: x + 2 3x-12 Find Lim A. B. 12 12 00 D.

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Q: t-V3t+4 /3t+4] Evaluate lim t-4 4-t

A: Given,          limt→4t-3t+44-t

Q: x2 + 2x – 1 1 True or False: lim x – 9 4 O True False

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Q: Q3\ Answer the questions: WARITH AL has an inverse or not! on the interval (-o, 00). %3D D. Evaluate…

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Q: (x + h)² – x² lim h 3 h

A: We will expand the first bracket  and  simplify the expression in numerator first

Q: -8х7 - 4х + 2 Е. lim х10 — 3

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Q: (XthP+| lim 4.

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Q: Evaluate lim f1x2 and lim f1x2 using the figure. xS-00 yA y 5 f(x) 210 10 23+

A: Consider the given graph as

Q: 21. lim V2x-6 -3+

A: Topic  = Limits

Q: т? + 2х — 15 - Find lim x→3 x2 – 9 - Answer %3D

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Q: Find a real number b such that x²-6x+5 26 lim x-5

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Q: x2 – 7x + 12 lim I-3 x - 3

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Q: 1. Evaluate each of the following: x3-64 a. lim X4x2-16 x-1 b. lim x-1 vx+3-2 1 1 C. lim 4 X→4ズー4

A: a)  limx→4 x3-64x2-16 = limx→4 x3-(4)3x2-42= limx→4 (x-4)(x2+4x+16)(x-4)(x+4)     ... Use (a3-b3) =…

Q: If -a2 + 6x – 7 < f(x) < 2x – 3 for all r, find lim f(x). Cite any relevant theorems used.

A: Given that,  -x2+6x-7≤fx≤2x-3 To determine limx→2fx. By the algebra of limits, If gx≤hx  then…