Use the following functions below to find the limit of a functions. Show your solutions. f(x) = x² -7 g(x)=x - 5 h(x) = x² - 25 lim f(x) 9. lim (goh)(x) f(a+h)– f(a) h(a+m)-h(a) 10. lim h-0 11. lim h m-0 m X-2

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim (x3 −…

A: Given,

Q: Vx+1 - 3 4. Find the limit (if it exists). lim %3D X-8

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→5   5 + X/X

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Q: Find the limits: Vx – 1 lim x→1 x - 1 а.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

Q: Evaluate the given limit. Show your complete solution. limx→∞ [e5z + x²]

A:

Q: Find the limit, if it exists: X lim X+- 0 x² + 1 ,2

A: We factor out x2 from inside the square root. Then |x| comes out of the square root. Note that: x/…

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

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Q: Find lim f(x) for the given piecewise function. x-4 2x +2 if x 4 If the limit does not exist, enter…

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Q: Find lim f(x) for the given piecewise function. X6 2x + 1 if x 6 If the limit does not exist, enter…

A:

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: Q;: Find the limit for the following functions: - 1- lim -2 X-4 x-4 x²-2 2- lim-3 X-1 Vx-3

A: The limit if the given functions are required to find out. limx→4x-2x-4 limx→1x2-2x - 3

Q: x² + x lim * + 2x + x³

A:

Q: Find the limit (if it exists) lim                t2+t-2/t2-1 t-->1

A: First we factor numerator and denominator

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: Find the limit limit x tends to (1/2) 4x(3x+4)2

A:

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: Find the limit of the function 2x-1 ists): lim 2r-x x0.5

A:

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

A: Given:

Q: Use your answer to the previous question to calculate the limit and write your answer upload. In(x)…

A: The given limit is limx→1ln (x)-x+1(x-1)2 We have to find the first four terms of the Taylor series…

Q: Evaluate f(4+ h) – f(4) lim h0 where f(x) =5x +7. If the limit does not exist enter DNE. Limit =

A: f(x)=5x+7

Q: Calculate the limit algebraically: x³ + 8 lim x→-2 x² + 7x + 10

A: Consider the given expression, If we substitute  in the expression we get  form. so, use L-hospital…

Q: Find lim f(x) for the given piecewise function. 2x + 1 if x 6 If the limit does not exist, enter…

A: Solution is given below:

Q: V x2 + 9 - 5 lim X→-4 x + 4

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Q: Find the limit (If It exists). (If an answer does not exist, enter DNE.) (x² - 4x +18, -x² + 4x -…

A: Put the condition for existence of a limit and cross check.

Q: x" -1 :? x+1Vx -1 For a positive number nEN, what is the value of the limit lim-

A: On substituting x=1 in limx→1 xn-1x-1 tends to 00 (Indeterminate) form So upon applying L-Hospital…

Q: Q2: Find the limit r + 3 lim x-3 x + 4x + 3

A: We have to find limit

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

A:

Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

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: lim (-2 xS t x-1)

A: From this limit, we know that when x approaches -infinity then y approaches +infinity. so, on the…

Q: Let -2x² + 6x - 3 for x 0. According to the alternate form of the definition of the derivative, to…

A: We will use properties derivative.

Q: Find the limit. lim (3x5 - 2x4 - 4x³ + x² - 5) x+-2 O -33 O -161 O 47 O -97

A: See the details solution in below

Q: Q1. Find the limit of the function if it exists x² + y² – 2xy lim (x.y)-(0,0) у3 — х3

A: We have to check whether the limx,y→0,0x2+y2−2xyy3−x3 exists or not. Convert the polar coordinates…

Q: Given f(x) = 5x³ + 7x + 7, write a limit representing the derivative of f(x) at x = −2. Provide your…

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Q: Q1 find the limit x' -1 lim x –1

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Q: Find the limit of the function algebraically. x2 + 2x lim

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Q: Let f(x)=4x2 +6. Evaluate limh→0f(4+h)−f(4) / h Limit =

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Q: Find the following limit, then enter your answer in the form a/(x+b)(x+c) 1 If f (x) = find lim x+2…

A: This question can be solved using the concept of limit and function

Q: Find the limit. lim x → 2− e3/(2 − x)

A: To find the limit of the function

Q: Find lim f(x) for the given piecewise function. 2x +3 f(x) = { 5 -*+18 if x > 6 if x < 6 %3D if x =…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) Sx2 - 4x + 6, X < 3 lim…

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Q: I.A. Discuss the limit of the function as x approaches c and the value of the function as x = c.

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

Q: Find the limit: (b) lim Sx+6 x-2

A:

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 16 lim…

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