Q 6 Let f(x) be given by for x > 6 for x2 6 x 6x-8316x 8 3-4x244x + 96 XC f (x) = Find lim6f (x) if it exists.

Q: V-x-2-V3 Evaluate lim -x- 5 Enter an exact answer.

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Q: Vx+5-3 b) lim x→4 х-4

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Q: х2 — 2х-15 x2 — х— 20

A: We have to evaluate the following limit: limit as x tends to 5, [(x2 - 2x - 15)/(x2 - x - 20)]

Q: lim

A: We have to evaluate the following limit: Limit as x tends to -infinity (2x + 1)/[sqrt {7x^2 - x +…

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

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Q: x* +x² – 1 limx→c x²+5

A:

Q: 3. Find lim x-2 x - √5x + 6 x-6

A: The limit is given by limx→2x-5x+6x-6 To evaluate: The value of the limit.

Q: 28x2 + 949x – 2124 а. lim x→-36 37x² + 1380x + 1728

A:

Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: 2. Find lim 7x+5

A: limx→∞7x+5x2-4x=limx→∞x(7+5x)x2(1-4x)=limx→∞(7+5x)x(1-4x)

Q: V13-x - 2 4-Vx +7 Evaluate lim-

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Q: Ex: Find lim, 3f(x) if f(x)%3D x-1 13x-7 x > 3

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Q: Vx² +4 - 2 Find lim x->0

A: Consider the given limit limx→0x2+4-2x So, limx→0x2+4-2x=00   Apply L'Hospital's rule:…

Q: 2.x2 + x – 2 7. Compute lim Justify your answer A number is not 7x2 – 3x +1 enough.

A: The objective  is computing the above limit.

Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

Q: If y = vb2 + x2 and y + Ay = Vb² + (x + Ax)² , what is the lim Y ? Ax0 Ax Select the correct…

A: Given, y=√(b2+x2) Δy=√[b2+(x+Δx)2]

Q: lim(V9x² +x – 3x) Evaluate lim V9x² +x – 3x X00

A: Solve for the limit

Q: 3. Find the interval on which the curve of y= 2 1+3t+t² dt is concave up.

A: Second derivative is positive.

Q: lim Va2 + 8x +1-x x 00

A:

Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 2x – -12x + 40 3x2 + x – 14 14) lím エ→2

A: We will find the value of the limit as following.

Q: x* – 5x² lim x2

A:

Q: V x + 9 - 5 lim X--4 x + 4

A: The objective is to evaluate the limit.

Q: x6 – 3,000x5 lim x→-0 4x° + 10,000 9

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Q: Find lim 2-0 -x-1 x²

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Q: 2-4 Find Lim x--23x + 6

A: Given: limx→-2x2-43x+6 To Find: limit

Q: de 4 V4x* +3 lim 5x +4

A: Divide the Numerator and denominator of the given expression by x2

Q: (5x+1)(3—10х) x(10х+ 2020) Find lim X00

A: limx→∞5x+13-10xx10x+2020