Find the limits. f(x) = x + 3 g(x) - x2 (a) lim f(x) x-3 (b) lim g(x) = x-2 (c) -3 9({x)) im, %3D

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A: Given limit is  Firstly, we will multiply both numerator and denominator by sqrt(x-3)+3

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Q: Find the limits. f(x) = 2x² 3x + 15, g(x)=√x + 3 (a) lim_ f(x) = X-3 (b) lim g(x) = X→ 24 (c)…

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Q: 4. f(x) = x² – 1; c=-1

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Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

Q: Given lim f(x) = 7 and lim g(x) 8, evaluate: %3D x8 x8 lim (7f(x) + 5g(x)) = %3D lim (7+ 5f(x)) = 7…

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Q: If f(x) = |x-6| , then lim fx) – f(6) x - 6 f(x) – f(6) X - 6 lim X6*

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Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

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Q: 3x2 (b) lim х30 х+1-ех

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Q: Stlon If f(x) = 6x³ 7x – 3, what is lim f(x)? – -

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Q: x2-4x+4 2. lim x-2 x2-x-2

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Q: (e) lim (3x²-x¹ + 1) 818

A: Given Limit,e. limx→∞3x2 - x4 +1

Q: T²-21-3 1-3 x²-x-6 (b) lim (c) lim x² - 2x-4 I-3 I²-x-5

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Q: 2. If lim(x) – 8 I-1 x-1 10, find lim f (x). Explain your answer. %3D

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Q: Please show step-by-step solution

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Q: Find the limits. f(x) = 2x2 - 3x + 16, g(x) = x+ 2 %3D (a) lim f(x) = X-3 (b) lim g(x) = X-25 (c)…

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Q: B: Find y + 4 lim (x1)-(24) x²y-xy + 4x² - 4x

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Q: 2x-3x lim 3x3 +4 (Турe an %3D

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Q: 2x3 c. lim x-2 3(x-2)2 x+1 d. lim x-3 (3-x)2

A: Firstly find the limits seperately from the left side and right side of given point then if both are…

Q: if f(2) = 4 f(2) = 1 Then Xf(2)-2г (х). X- 2 lim x-2

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Q: - 5 f(x) - If lim X-4 X - 2 1, find lim f(x). %3D

A: Given limx→4fx-5x-2=1 To find limx→4fx

Q: B. Determine if lim f (x) = f (c)

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Q: Find the limits. (x) = 2x² – 3x + 4, g(x) = Vx + 2 (a) lim f(x) x-2 (b) lim g(x) = %3D

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Q: -6x³ – 4x2 + 8x p(æ) = -9x4 8x3 + 2 nd lim p(x). x→-00

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Q: If lim [f(x) + g(x)] = 9 and lim g(x) = 12 find the following. %3D X-2 (a) (b) x-2 (c) lim 3g(x) x-2…

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