Given that lim f(x) = 4 lim g(x) = -2 lim h(x) = 0, X→2 X→2 find each limit, if it exists. (If an answer does not exist, enter DNE.) (a) lim [f(x) + 3g(x)] X→2 -2 (b) lim [g(x)]³ X→2 -8 (c) lim lim √f(x) X→2 4f(x) (d) lim x→2 g(x) g(x) (e) lim x→2 h(x) (f) lim g(x)h(x) X→2 f(x)

Q: b. Find lim (xv (xVx²+1-x²)

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Q: 6. Consider the function f Cx)=5(o+5)-25 if X#し if xfO D.IS fCx) continuous at X-0? EXPlain

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Q: 2x+12 |x+6| If f(x)=- , determine whether lim f(x) exists. 44-6

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Q: If 3x < f(x) < x³ + 2 for 0 < x < 2, find lim f(x). x-1

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

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Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: 3. Consider the function f(x), whose graph is shown below. Determine the limit of a function, by…

A: The limit exists at a point means that ..... LHL left-hand limit of the function should be equal to…

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: If limx→.3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx→.3[36x^² + f(x)- 3x]. O a. 11…

A: limx→-3x3+fx=-29

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: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: If 2x – 2 < f(x) < x² – 2x + 2 for x 2 0, find lim f(x). X-2

A: The objective is to find the limit.

Q: 2. Consider the function: + 3 if x 2 %3D 17 if x = 2. %3D Find lim, 2 f(x).

A: Function given is- f(x)=x2+3       if x&lt;2x3-1      if x&gt;217           if x=2  To find…

Q: SX IF X <1 Let F(X) = (^(X-2) IF XZ1 a, Find Limx→1¹ and lim x⇒ F(x) b. does LIM X→1 f(x) exist? C,…

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Q: Below is the graph of a function f(x). Use the graph of the function to calculate each of the…

A: Given- To find- limx→-1+fx, f-5,f3

Q: Find lim f(x), where lim x→4 f(x)-5 X-4 X-2 = 13

A: We need to apply the limits to find the expected value

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

Q: If lim x-4 x-2 f(x)-5 - =1, find lim f(x) X-4

A:

Q: 2f(x) ) lim x→2 g(x)

A: Given: Limit equations is given.

Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

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Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

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Q: Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)

A: Topic :- limits

Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

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