Show that - lim→∞ Xn = limn→∞(-Xn).

Q: Prove that limxS2 ƒ(x) = 4 if

A: Given that : The function is f(x) =x2,    x≠21  ,    x = 2 .

Q: If t(x)=(8x+9)/(10x+6), find limx→+∞

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Q: 2x – 6 X + 3 If f(x) = { x- 3 then the li X 5 X = 3 a. 5 b. 1 С. 2

A: Given for x = 3 , f(x) = 5

Q: 1 Evaluate lim Gnx x→1+ 'Inx х-1

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Q: Suppose lim f(x) = = x→2 1/2 4 -5, find lim x→2 x²| ƒ(x) + 6 x - 1

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Q: What are limx→+-∞ k (k a constant) and limx→+-∞ (1/x)? How doyou extend these results to other…

A: limx→af(x)=L means f(x) becomes arbitrarily close to L as long as x is sufficiently close to a.  We…

Q: Show that lim (2,v)>(0,0) **+y D0.

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Q: Find the lim inf (xn) and lim sup (xn) of Xn=3-(-1)"

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Q: 1. lim→- Зx? (2х - 1) 1 + 4x + 3 9. limx--3 x2- 3 2.

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Q: 10. lim Ve+ 2-2

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Q: Ex x-2 XE3, X-2 12) Consider メレ3 2) lim. (f(x) b) lim. (f(x)

A: Topic:- limit

Q: f²(x) x-2x³-f(x)* 2. Suppose that limf(x) = 5. Compute lim x-2

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Q: If 4æ – 11y = 5 is the tangent to f(x) f(x) - f(3) at a = 3, then lim | (A) =! (B) 규 (C) 4 (D) (E) 4…

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Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: limx→∞ x2/e2x

A: limx→∞ x2/e2x

Q: (4+ 43) (x + 43) -(16 + 43)x limy→ -43 limx. x + 43

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Q: For which value of n, does the lim- -ny'+16n = 2 y-2 32-ys

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Q: 12. Let L = lim a>0. If L is finite, the (A) a=1 (B) a=2 (C)L- (D) L-

A: We are asked to find a value and L values.

Q: х2-2х-3 Evaluate: lim х--о (х+1)(1-х) А. —3 В. О С. —1 D. DNE Е. 1

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Q: Suppose f(-2)=0 g(-2) = 0 f'(-2) 5 g'(-2)=1 = and all functions are continuous. f(x) lim Z-2 g(x)

A: The given values are .To find the limit .

Q: In(2+x) lim, x+-1 X+1

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Q: Is it possible for f(1) = 3 and limx→1 f(x) = 5? Explain

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