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 f(x) – g(x)

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

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Q: 2J(x) g(@) lim (h(x))² - f(x)g(æ) +1

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Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

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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: f(x + Ax) – f(x) Find lim Дх > 0 Ax f(x) 9x2 5x %3D teр 1 Find f(x + Ax) by substituting x + Ax in…

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Q: Consider the functions f(x)% = -x3 and g(x) = -2x +8 4x+8 ,x20 Find lim VF(x)g(x) + - lim [(3f(x)…

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Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

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A: Make the changes function in the  function (f+g)(x) by adding and subtracting terms such that…

Q: Find lim h(x), if possible. X- 00 f(x) = -4x2 + 5x – 3 f(x) (a) h(x) = lim h(x) = X- 00 f(x) (b)…

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Q: The graph of f(x) = x* – 4x² is shown. Use this graph to sketch the graph of g(x) = |x* – 4x*|. -3 3…

A: Using the graph of fx=x4-4x2 we need to sketch the graph of  gx=x4-4x2

Q: lim h→0 f(1+h)-f(1) B)-f(1) h 5/14 Correct where f(x) = 9x² + x - 4

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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: bx Tim (1+2) b 818

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Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

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Q: (e) lim (3x²-x¹ + 1) 818

A: Given Limit,e. limx→∞3x2 - x4 +1

Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

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: (g) lim (x- Vx +x - Vx-x (h) lim 3x²

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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: f(7 + h) – f(7) Find lim if f(x) = - 8x – 7. h h→0 f(7 + h) – f(7) lim (Simplify your answer.) h h→0

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Q: Evaluate lim f(x), f(x) = (3x² + 5x − 1, (7x² - 2x - 3, x ≤ 2 x > 2

A: Topic:-  limit and continuity

Q: The graph below is the function f(x) 4- -5 -4 -3 -2 -1 2 3 4 5 -2 -4 |-5 lim a+ -3 f(x) = ||

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Q: lim f(x) = 8 lim f(x) = -4 f(-6) = 5 I→-6- z-6+ lim f(x) = 2 lim f(x) = 8 f(5) = 4 z+5+ lim g(x) = 6…

A: Given  functions f(x) and g(x)

Q: Suppose lim f (x) = l and lim g(x) = m, then lim (2f(x) + 3g(x)) = 2l + 3m.

A: We have to show given problem:

Q: Determine f(x) so that lim 818 Σ(4+4)* - | rayar. = f(x)dz.

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Q: 53-5 Va - 5 (d) lim x25 x- 25 Hint: Multiply the numerator and denominator by the conjugate of the…

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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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