Find lim h(x), if possible. (a) h(x) = f(x) = -8x² + 3x - 4 f(x) X lim h(x) (b) h(x): f(x) lim h(x) X-00

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: 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: Given lim f(x) = 4 and lim g(x) = 5, evaluate: 2-7 x-7 lim (3f(x)+7g(x)) = →7 lim (3+7f(x)) = I-7…

A: Ans :  a) 47 b) 31 c) 47/31 d) 1457 For detail....go through the solution..I have solved step by…

Q: (b) lim x→91 0. Vx+9-3 x

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Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

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: Solve the problem. Given that f(x) = 5x², find lim [f(x) - f(4)/(x - 4)]. X-4

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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: 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: 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: lim f(x). V5-2x2 <f(x)< V5-x² for -15xs1, find

A: Since both the function lies in interval for x=0. Hence let us find the interval  for the first…

Q: (e) lim (3x²-x¹ + 1) 818

A: Given Limit,e. limx→∞3x2 - x4 +1

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

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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 + 12 4. Let f (x) = |X + 6| Determine (a) lim f (x) X→6+ (b) lim f (x) X→6- (c) limf(x) X→6

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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: Given f(x) = x-1 and g(x) on the graph below, find lim (g(x) +/x]

A: Given function is fx=x−1. And consider the graph of gx, which is given in the question. We have to…

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

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Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

A: In this question, we want to evaluate the limit of the given expression.

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

A: Topic:-  limit and continuity

Q: Find lim h(x), if it exists. X- 00 f(x) = 3x2 + 2x + 9 f(x) (a) h(x) lim h(x) = X- 00 f(x) h(x) = x2…

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Q: Graph f (x) to evaluate lim f(x). x 3 Enter the exact answer. lim f(x) = Number f(x) = 4x4 17 x3 x…

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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: V3+x-V3 If f(x) = Solve to find lim f (x)?

A: we have to find the limit