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: 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: e 3x (d) lim X→0 5x+200

A:

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

A:

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

A:

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

A:

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

A:

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

A: Answer is  -2

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

A: