4- x - x² if x ≤ 2 2x - 9 if x>2 Determine the following limits. Enter DNE if the limit does not exist. lim_f(x)= _lim_f(x) = [ Let f(x) x→2- = lim_ f(x)= x→2

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

A: Given 3x - 4 ≤ f( x ) ≤ x2 - 3x + 5limx→3f( x ) = ?

Q: Use the definition of a limit to show that (i) limx→0 (x^2 + 6x + 9) = 9 (ii) limx→−7 and…

A: Authoring guidelines:…

Q: If lim f(x) = 7 and lim g(x) = -4, find the following. X-6 x →6 (a) (b) lim_ [f(x) + g(x)] X.6.....…

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Q: 1 lim (3x¹ + x³ - 2x) lim (-x² +5x+6) 2 *→ lim √2x² - 8x-3 3 x→→ lim √x³ - 5x 4 x→ -

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Q: Let h(x)= (x^2-9)/(x^2-3x) a/ what interval is h(x) continuous? b/ evaluate the following.…

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Q: lim_ f(x) and f(1). x-1- 4) Say f(x) = 15(x-3)2(x-4)² 6x(x-2)(x+5)² Find lim f(x). X18 5) With f as…

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Q: lim x++∞ x² + x e²x + Inx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Which of the following functions showing lim f (x) = f(c)? 1+4x f(x) = 1+ 3x; c = 2 f(x) = ;c = 0…

A: We have to check

Q: d. e. lim f(x) X→→2+ y = f (x) f. lim f(x) g. lim f(x) x→-2 X→-0 h. lim f(x) i. f(-2) X→+∞ 2.

A: limx→a f(x) = L if and only if limx→a+ f(x) = L = limx→a-f(x).

Q: Use this graph of y = f(x): -5 -4 -3 -2 -1 -0-* lim f(x) = *→0+ lim f(x)= = 3 07* 2. 18 -1 -2Q to…

A: see below the answers

Q: 3x lim V5x² +2

A: To find:limx→∞ 3x5x2+2

Q: Jse the graph of h (x) below to evaluate lim_h (x), if possible. x→2 4

A:

Q: If there is a limit to the function, get it, otherwise state your reason for not having a function.…

A: We have to solve given problem:

Q: Find the limits as x →co and as x→ co. (If the limit is infinite, enter 'co' or '-co', as…

A: Step 1:Step 2: Step 3: Step 4:

Q: The graph below is the function f(x) 5+ 4 3 2+ 01 -5 -4 -3 -2 -1 4 -2 -0-3 -[-←x -1 -4- -5+ Find lim…

A: The graph of the function  is given below.To find the following.

Q: +64 1. lim (3x-x² + 2) = 6. lim X-3 X-4 4x+16A 2x2-x-3 x+1 2. lim 7. lim X-1 х+1

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

Q: Let f(x) = (3x^2 + 16x − 12)/(x + 6). Find L such that lim x→−6  f(x) = L, and prove that the limit…

A: Let f(x) = (3x^2 + 16x − 12)/(x + 6). Find L such that lim x→−6 f(x) = L, and prove that the limit…

Q: Calculate the limit

A: limx→∞ arctanx2+99-xApplying Chain rule: =-π2limx→∞ arctanx2+99-x=-π2  Decimal:   -1.57079…

Q: ху — 2х — у +2 lim (K. y)-(1,2) X* + y² – 2x – 4y + 5

A: Let  S  be an open set containing  (x0,y0) , and let  f  be a function of two variables defined on…

Q: Evaluate the following limits. х* + 3х + 2 lim, 'x-1 v2 x² + 4x +3 a. x² – 2x lim, „2' Vx² +5- 3 b.

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Q: f(x) = (x²+3, x<-3 8x+1, -3 < x < 5 B 5 <x m_f(x)=¯ f(x) = [ -3- lim_f(x) = 2-3+ lim f(x) = 2-5+…

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Q: if x ‡ 4; if x = 4. Find limx→4 f(x) where ƒ is given above, show all of your work. 10. Let f(x) = {…

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Q: If f(x) = 2x² 4x+5 4%-1then %3D liMx->00 f(X)= ANSWER DNE If limit is undefined | 0oes not exist

A: