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 (x) + 5g(x) ) - lim 7+5f(x) lim ((7f(x) + 5g(x))(7+ 5f(x))) = %3D

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

A:

Q: Vx+8-3 Evaluate ' lim-1 x+1

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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: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: Find the limits x2 – 4x + 8 lim I -00 3x

A: Given  We need to find the limit.

Q: Find the limits

A: The given function is

Q: e 3x (d) lim X→0 5x+200

A:

Q: In(4x+3) lim X0 8x+7

A: Limit.

Q: Find the following: x/3 + 9x/5 i. Lim X 06x1/2- 4x1/4

A:

Q: Evaluate:

A: We can find the limit of an expression by applying the limit point as the value of the variable in…

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

A:

Q: Stlon If f(x) = 6x³ 7x – 3, what is lim f(x)? – -

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Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

A:

Q: Calculate:

A: we have to evaluate the limit. limx→3x2-4x+3x2+x-12

Q: Find lim,x - Vx²+ 2

A: To find the limit

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

A:

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

A:

Q: x2 – 10x + 16 Calculate lim x→2 x2 – x - 2

A: Answer is  -2

Q: (d) lim LI-IX √x²+2x+1 x² - 1

A:

Q: Find:

A: Given, limx→1x3-3x2+72x-5 Now plug the value of x=1 we get, ⇒13-312+721-5⇒1-3+72-5

Q: x2 + 9x + 20 x + 1 lim X-1

A:

Q: Find domain, range, asymptote, yintercept, and xintercept for f(x)=In(x+3)+3

A: Given: f(x)=In(x+3)+3 To find domain, range, asymptote, y- intercept and x- intercept.

Q: 7x +2 14. Evaluate lim -00 V4x2 + 3

A: The formula for limit is limx→afx+gx=limx→afx+limx→agx. To solve the limit the substitution…

Q: -4x lim Vx²-1

A: To determine the value of the limit.

Q: 7x2 lim Does not exist

A: To Determine: find the limit  Given: we have limx→07x2x2 Explanation: we have limit limx→07x2x2 let…

Q: 4x2-x- V9x2 –x lim

A: Given: limx→∞4x2-x-9x2-xx

Q: (3x² +12x -8x+1) im = 3. (x²+2)(3x-1)

A:

Q: if f(2) = 4 f(2) =1 Then xf (2)– 2f(x). lim х - 2 X2

A: