If lim f(x) = lim h(x) = 4, find lim g(x) when f(x)sg(x)Sh(x) for all values of x. X-3 X-3 x-3 lim g(x) = (Type an integer or a decimal.) X-3

Q: x3-3 3. Find lim f(x), . f(x) = %3D 3x3

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Q: Show directly from definition that if lim,l- f(x) = 2 and lim,1- 9(z) = 3, then lim,1- f(r) + g(x) =…

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Q: 4) Let f(x) = x-31, Find (a) lim f(x) x-3+ (b) lim f(x) x-3 (c) lim f(x) X-3 X-3

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Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: (-2x + 3 if x 1 Evaluate the lim f(x) where f(x) x→1

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Q: x+1 if x<4 lim f (x) if f(x) = - |(x- 4)° +3 if x4

A: Given Function f(x) is given . This function is branch function . We are asked to Evaluate its limit…

Q: 2x + 1 Let f(x) Find lim f(x) %3D x - 1

A: Given functionf(x)=2x+1x-1

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: What is the definition of lim f(x)?

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Q: Find lim f(x). Im f0) -O x-2" X--2" (2.4) (4.3)

A: solution:-left hand limitlimx→2-f(x)=0

Q: S 3x + 2 x² + 3x – 1 I-2 |

A: Given that: f(x)=3x+2            x&lt;-2x2+3x-1   x≥-2

Q: (d) lim x/x

A: Given: Let y=limx→∞ x1x To Find: To evaluate the given limit.

Q: -1 L'im csc X

A: Use the properties of limits and trigonometric ratios

Q: Given f(x) = 3/(4-x)3 , evaluate limx=4+ f(x)

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

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Q: True or false: If lim f(x) = f(a), and x1 is closer to a than x2, then f(x1) is closer to f(a) x→a…

A: The given statements is: If limx→af(x)=f(a)  and x1 is closer to a than x2 then fx1 is closer to…

Q: Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim…

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Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…