Show that - lim→∞ Xn = limn→∞(-Xn).

Q: xe 1. lim, »o X→0 1-e*

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Q: Prove that limxS2 ƒ(x) = 4 if

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

Q: Prove that lim, = 1, (x > 0).

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

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Q: 4. a. The density function of a continuous random variable X is given by f(x)= xe* for x>0. Given…

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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: 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: 3. 15. lim y- y+4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 2x lim x→9- 4-/25-x

A: This question is related to limits, we will solve it using given information.

Q: 4. Show that im (XM) (110) хуу (x-4)² + y² does not exist.

A: see below the calculation and explanation

Q: Зх— 6 Find Lim x-2 x? - 4

A: We have to find:  limx→2 3x-6x2-4

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 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: lim x3 -1 is x-1- x -1 А. — 3 B. no limit C. 3 D. undefined Е. О

A: topic - limits

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: 1. lim 2x+1 2. lim x→3 ズ-3 x-1 ミ- キ* さ

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Q: lim In(10x) x-0t

A: To find the below right-hand limit.

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

A: