Let f(x) = x3+x. Evaluate lim s→0 (f(x + s) − f(x))/s .

Q: If V 16x <f(x)sx+4 for all positive x-values, then what is lim f(x)?

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Q: CONSIDER THE FOLLOWING FUNCTIONS. f22x+1 AiD gca)= xー1 a) DE TERMINE jG&) =f(x)• g(x) Lim…

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

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Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

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Q: 3x3 - 4x lim 5x³ – 2 ,3 X→-0

A: Given limit is as below:

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

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Q: e- lim x-3 x2-9 V3x-3 ,x + 3

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Q: 3. 15. lim y- y+4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Give an example of a function that is not continuous at x = 2 but limx→2 f(x) = 1

A: choose any equation of line such that f(2)=1 but the function function f(x) should be discontinued…

Q: 46. lim h→0 (x + h)³ - x³ h bluow

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Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

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

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

A: Please see the below picture for detailed solution.

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

A: Given query is to find the limit of the expression.

Q: 1 Let f(x) = 1, 0sx<2 -x2 + 4x- 3, x22 . Compute lim f(x).

A: Topic -limits

Q: Evaluate lim (1+x)/x x→0

A: Please see the answer in step 2

Q: If f(x) = Vx² + x – x, find lim f (x), where f(x) is defined at 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: If f(w)=√4w-3, find lim h-0 f(w+h)-f(w) h [(w)].

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Q: If 2x – 2 0, find limf (x). x→1

A: We can use the sandwich theorem to solve this question.

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

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Q: Explain why: limx→a−b f(x) = limx→a f(x − b).

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Q: 49-7 Estimate lim *-7 -7 is approaching to using a table of functional values.

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Q: Use the graph of f(x) = X + 2x - x-8) to determine lim f(x) and lim f(x). X→-4 X-2

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