Let f(x) Calculate lim z→-5- lim 2-5+ (−4 − x)² +3 if x = -5 4x + 23 if x = -5 the following limits. Enter "DNE" if the limit does not exist. f(x) = f(x) lim 24-5 f(-5) = f(x) =

Q: The graph below is the function f(x) O Q -5 -4 -3 -2 -1 x→-2+ 5+ 4 3 2 x -1 -2 -3 -4 Determine the…

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Q: x=-1 x=1 x%32 -2 EVALUATE lim f (x) x-1-

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Q: 3x3 - 4x lim 5x³ – 2 ,3 X→-0

A: Given limit is as below:

Q: Find lim,00(e3 +2x)/* 1/x

A:

Q: Compute lim(Vx²+x – x

A: Given,  limx→∞x2+x - x   We have to compute the limit.

Q: Find lim g(x) where x→1 x + 1 if x # 1 g(x) if x = 1

A: given,

Q: Evaluate: * х — 5 lim х-5 Vx+4 – 3

A:

Q: lim (2x² - 6x - 3). x-3

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Q: 2х -2х 5e — Зе - lim 2х -2х 2e +e x → -00

A:

Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: Find lim (x,y)-(0,0) y7x⁹8x97y8 + x105 xy7 +x8

A:

Q: 7x f h(x) = (1 + 4) ¹*, find lim h(x). X→∞

A: Please see the below picture for detailed solution.

Q: Find the limit when x-> 0 lim(√x+11-√11)/x

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Q: If f(x)=x2−9x−3 , what is limx→3+x2−9x−3 , limx→3−x2−9x−3, and f(3) ?   Is f(x) continuous at 3?

A: Given,              f(x) = x2 − 9x − 3

Q: find the limit

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Q: If q(x) = 3x², 7ex find lim q(x). X→ +∞

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Q: 9. True or false: lim x = -1 X+1 1= x² 11 -IN 2

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Q: (込) 6. (d) lim x→3x-3 x² -9

A: Find the limit . Of [1/(x-3) -6/(x2-9)] when x tends to 3

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: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

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: 4x + 1 x + 5x a. lim 8x - x - 6 x ( 3x - 4) b. lim Зх + 9 3x 4x - 7 lim С.

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Q: If f(x) = 5x² − 5x + 31, evaluate lim_f(9 + h) − f(9) h→0 h If an answer does not exist, enter DNE.

A: given