e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

Q: V1+x – VT– x lim ||

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Q: Let f(r) be the function defined by a r > 3 f(r) = 1 x < 3, 3' Find the value of a if lim f(x) = lim…

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Q: lim x→0 5x² + 3x² + 1 X =

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Q: If х-+5 lim f(x) = 15, find lim ( 2x – x² /f(x)+ 1 х—5

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Q: lim xe-x

A: We have to evaluate the limit: limx→∞xe-x Rearranging the question using exponent rule a-m=1am,…

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

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Q: (b) lim x→91 0. Vx+9-3 x

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Q: 3 Lim xah

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Q: 4. x- 1 lim x- Vx + 5-3

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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: 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: a. Estimate the value of lim f(x).

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

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Q: f(x) = √x, a = 1

A: Givenf(x)=x a=1To findlimh→0f(a+h)-f(a)h

Q: Find 2-Vx2-5 lim X-1 x+3

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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: Evaluate lim h→0 Answer: f(4+h)-f(4) h where f(x) = 7x + 1.

A: Topic:- application of calculus

Q: 3x+5, p) The function f(x) is defined by f(x) = • If lim f(x)exists, what is th 1- 2x+b;if x>1

A: If the limit of the function exists , then left hand limit is equal to right hand limit. therefore…

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: ズー1 2. lim X-3 エ+1

A: Consider the provided expression, limx→3x-1x+1 Evaluate the above limit.

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

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Q: Vx² + 1 +x lim X ∞ 4xr -1 II

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Q: f(x) 80. If lim x→-2 x? 1, find f(x) b. lim x2 (x) х

A: 80. Given:

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

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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: If lim f(r) = lim g(x). then whether f(x) = g(x) is always true ? Justify D←エ your answer by an…

A: If limx→af(x)=limx→ag(x),then we have to determine whether f(x) always equals g(x).

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