Determine the limit value of each of the following functions 11. lim 5(3x + 2) x →-1 12. lim * x→ 4 X + 2 13. lim (3x2 - 6x + 5) x → 4 14. lim (3x – 6x – 8x + 20) x→ -2 15. lim x→3 x* – 2x + 3x

Q: For the function g whose graph is given, state the following. 10 a. lim_g(x) = x→∞ c._lim_g(x) =…

A: As we can see from the graph, So we can write,

Q: 1. + x+1 lim -1 /-

A:

Q: Find lim(x→−2)(x^2 − 4)/(x^2 − x − 6)

A: We first factor the numerator and the denominator

Q: Juan’s exercise regimen includes golf, swimming, and playing the drums. He has at most 12 hours per…

A: We have given all the important statement. We have to construct the linear programming problem.

Q: 4. a. Evaluate lim x - x-6 x→3 x2 -9 x+1 lim x→-1 /3 - x –2 b. Evaluate

A:

Q: 2-x+x* lim * 5x* – 3x

A: Explanation: Given that,  limx→∞2-x+x45x4-3x2 If we directly put the x limit, we get ∞∞ We will take…

Q: Describe the left end-behavior off (x) = x´+4x+ 1 o im *+4x+ 1 = -00 lim x²+4x+ 1 x²+4x+ 1 o lim = 0…

A:

Q: 6x5 + 1 lim x→00 2x5 +3x2 + 4

A:

Q: -12 |–10 -8 -6 F4 4 10 12 2, 2.

A: The given graph of the function f(x) is

Q: Write the standard matrix for a R² R² linear transformation that rotates points radians about the…

A:

Q: A B C D lim /(x) = 0 x+2+ lim f(x) = 2 x →-2+ lim /(x) = 0 x+2- lim f(x) = -3 x--2 -5-4-3-2-1 Y -3-…

A: Find limit of function

Q: Use L'Hôpital's rule 3. x3 x³ - 1 lim x1 x³ + 3x - 4

A: limx→1x3-1x3+3x-4

Q: X 19. lim x→1x² + 4

A: To evaluate the following limit.

Q: x + 2, 4. If g(x) = }VT6 – x² - 4 4 4.a) lim g(x) x-4 4.b) lim g(x) X-4 4.c) lim g(x)

A: Given function is: gx=x+2,  x<-416-x2, -4≤x≤44-x,  x>4     4(a) To find the value of limx→-4gx

Q: 10. lim Ve+ 2-2

A:

Q: X lim x→1x² + 4

A:

Q: 2x lim x→9- 4-/25-x

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

Q: Evaluate lim (1+x)/x x→0

A: Please see the answer in step 2

Q: lim エ→4 - V8 -x

A:

Q: lim レ+x- %3D X. x→0 e-X+1 x -x_ a Find the limit.

A:

Q: 2+x 4. lim 3x-7

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (M1.4 C) Consider the two functions h(x) = %3D and k(x) 2² + 4x+4 2+x-2 Compute the lim h(x) and lim…

A: Given: The functions hx=x2+x-2x2+4x+4 and kx=x2+4x+4x2+x-2 To find: limx→-2hx and limx→-2kx

Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: 4x lim *-3 2- V2х + 3

A:

Q: (込) 6. (d) lim x→3x-3 x² -9

A: Find the limit . Of [1/(x-3) -6/(x2-9)] when x tends to 3

Q: 5 4 2 -a 5 -4 -3 -2 -1 1 2 3 4 5 a 7 -1 -2 -3

A:

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: limx²+x+I -| Glim 5-x? 5-22 - 2 ズー1 lim -6 -1

A: 4) limx→0x2+x+1-1x00 form=L'Hlimx→012x2+x+1(2x+x+1)-01=limx→02x+x2x2+x+1=0

Q: ス→5 XヌX +10 O lim (2-h) -S O lim 4-x X-02 3-Vx45 Al X+8 lim VX -2 O lim x +5-V5 X→y X-9ン メ>ト メーやース…

A: Now , we will find the value of limit  .

Q: find@lim 3X+1 メー→0 lim 2x+ 5

A: We use the property of limit to answer the given question.

Q: 4-V3x+1 Evaluate the limit limx→5 x²-7x+10

A: Given limitlimx→5 4-3x+1x2-7x+10

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.