-y 2- -6 -2 -2- Given the graph of f (z) above, find the following limits. To enter 00, type ifinity with a lower case i. (a) lim f(z): Z-4 (b) lim f(z): to 4.

Q: 3] [4M] Determine whether the limit exists. If so, find its value: Зху a) lim (x.y)-(0,0) 4x2 + 3y2

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Q: 2. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: Vx+15 -2 is The value of the limit lim X+-11 x+11

A:

Q: For the function graphed here, show that

A: The given graph of the function is,

Q: Find the limits lim (V² + 3 + x) X -00

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Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: From the graph we see that, when x is close to 3, then y is close to 1.  So the limit exists.

Q: Find the limit. 3e - 3 V1 + t - 1 4 lim 1 +t/

A: We have to find the limit of this Vector. If the limit 0/0 form, then we can use L' Hospital rule.…

Q: Evaluate the limits. If any of them tend towards -00 or +∞, enter "oo" (two lower case "o" letters)…

A: We can find the limit as below

Q: 14 Find the slope of the function ƒ(x) = -x - 1, by the definition of a limit. Slope =

A:

Q: v) How would the value of the previous limit change if instead of the function y = words, what is 4…

A: To find the left-hand limit of the function,  limx→2-1x-2+1 Apply the limit rule,…

Q: 5h+4-2 Find the limit of : limħ=o

A:

Q: Find the indicated limit. 2x lim (- Vx2+1 X00

A: Find the indicated limitlimx→∞(2xx2+1)

Q: Q: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(-1) 2x²+x-3 2- lim X-1

A: Please see the explanation below

Q: Consider the graph of y = f(x). Determine the following limits. -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5…

A: Solution:

Q: Determine the following limits. You are not required to use the definition, but you must justify…

A: We have to solve given Questions.

Q: x² + x lim * + 2x + x³

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Q: Use the given graph to find the indicated limit. 6) fx) -4 -3 -2 1 3 4 -2+ -3 Find lim f(x).

A: Explanation of the answer is as follows

Q: Without a table of values and without graphing f(x), give the values of the following limits and…

A: Part (a) - Let the given limit be y - y = limx→-1 3x-5Putting limit x=-1, because we do not have any…

Q: x-5 lim X-25 x-25

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Q: find the limit of g(x) as x approaches the indicated value. lim (4g(x))'/³ = 2 X0+

A: Consider the given limit as limx→0+4gx13=2

Q: I. Determine the limit of the function, f(x) = 2x – 5, given the graph. 1. lim(2x – 5) = , X2 2.…

A: Given graph of the linear function f(x) = 2x - 5 is as follows:

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: Given: limx→2fxfx=4-x  , x≠20,      x=2

Q: Use the graph to find each limit of the graph. y 8 --- f(x) 7 3 6. 个 a. lim f(x) エ→3 b. lim f(x) =…

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Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: Given: f(x)=4-x,  x≠20,        x=2

Q: Find the indicated limit if exists. lim x2 - 9 x→3 x - 3 O 3 O The limit fails to exist. 6

A: Ist solve then apply limit

Q: Find the limits 1 lim x→0 x²/3

A:

Q: Find the limit.

A: The limit of a function limx→Xfx=Y means that the value of function fx can be as close to Y by…

Q: Compute the following limits if they exist. Be sure to include some justifica (a) lim 5 (b)…

A:

Q: Use the given graph to find lim f(x) limit. x- 2- O A. 2 O B. 00 O C. -0 14 O D. 0 2- -8 -4 i 4 8.…

A: Here we need to find the left hand limit of the given function f(x) at x=2.

Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A: We check the function values from left and right to the point x=1.

Q: Determine the limit by sketching an appropriate graph. WA-x2 lim f(x), where f(x) = 2 0 gx<2 2 sx<4…

A: Topic- limits and function

Q: 6) Use the graph of f to find the indicated limit and function value: y 3- 1-3-2-1 -2-

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Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1x²-x-2 1-Vx 2. lim x→1 1-x 2x 3. lim…

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Q: Find the indicated limit 2x lim(- VX +1 X>00

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

Q: Find the limits as x - 0o and as x - -00. y = f(x) = (3 – x)(1 + x)?(1 – x)4 lim f(x) = lim f(x) = X…

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Q: For the function -1 f(x) = if x 3 ' evaluate the limit lim f(x). (If a limit does not exist, enter…

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Q: Find the limit. lim x-0 0 1 00 0 4

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Q: Vx+15 - 2 is The value of the limit lim x--11 x+11

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Q: If lim,3 f(x) = -2 and lim,-3 g(x) = 7, calculate %3D %3D im ((x + 1) . f(x)² + *+2 g(x) x→3 The…

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Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3.…

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: Find the limit. 4) lim (e5/x - 6x)\/2 x-0+

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Q: Compute the limit below. Justify your answer. V2x +15 -1 lim x+-7 X+7

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Q: 2) Find the following limits if they exist. a) lim xVx* +1-x lim(x+e')% b)

A: We have to find out limit

Q: Decide whether the limit exists. If it exists, find its value. 1) lim f(x) x-1 2

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Q: Use the graph to estimate the specified limit. lim f(x) and x-(n/2) 25) Find lim f(x) x-(n/2)* 2n

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Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

Q: Find the limit. 7) lim x-5' x - 25 A)1 B) 0 C) -

A: We can solve this problem using the concept of limit.

Q: Q 3 Find the following limit if it exists: lims2-2 X -2

A: Given,

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why. |x - 2| a.…

A:

Q: Q;: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(Vī-1) 2x²+x-3 2- lim X-1

A: Given that:                     1.limx→4x-2x-42.limx→1(2x-3)(x-1)2x2+x-3