Find the limit x approaching -1 f(x): x2-2x-3/(x3-5x2+7x-3)

Q: Evaluate the limit at x-1 for: + 7x -x - 2 2-5x + 4

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Q: Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2

A: Given limx→0e3x-3x-14x2

Q: Estimate the one-sided limits for the function below.  f(x)=(11−x)/(x−8)^2   lim f(x)= x-->8+…

A: Given function is

Q: Find the limit. - 9x lim x+2 x→-2 - 9x lim x+2 x→-2-

A: To evaluate: limx→-2--9xx+2

Q: Find the limit at infinity: (root(x^4+3))/(4x^3+x)

A: Divide by highest denominator power of the function:

Q: find limit  lim 3x^2+2/9x^3-2x^2+7 x=infinity

A: Divide both numerator and denominator by x^2.And distribute the x^2 with each term.

Q: Find the limit limit x tends to 2 (-x2+5x-2)

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Q: Estimate the limit numerically. x² lim +14x+49 -7 x+7 O-7 Oto∞ O-1 00

A: Given limit is We will use the factorization method to evaluate the limit By using the result that…

Q: Evaluate the limit x – 4 | lim 2--1 8x2 – 3x + 8

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Q: Find the limit if it exists. Lim -2 (3x° + 2xª – x² + 7x – - 3)

A: For the following limit,

Q: find limit x-->2 (-x2 + 5x - 2)

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Q: What is the limit of (x^2+5x+6)/(x-2) as x approaches 2?

A: Given the function  (x2 + 5x + 6) /(x - 2)  We need to find it's limit when x approach  to 2.

Q: Find the limit of  limitx->0= x2+4,

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Q: Find the limit. lim (5x + 4x + 3) X--3

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Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: We have to evaluate the following limit: limx→2x-2ln3x-5 The above limit is in 00 form. Therefore we…

Q: Determine the limit: 12x - 10| lim %3D 5 - x X5

A: To find  The given limit

Q: Evaluate the limit. 3x3 – 5x² + 1 lim 00-X V2x6 – 4x + 3

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→4-x-2x-4

Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: Differentiate the power function f(x)=x4 using the limit definition.

A: Given: fx=x4

Q: Find the slope of the graph of the function g(x) = (5x)/(x-2) at (3,15) using the definition of a…

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Q: Evaluate the limit 7x2 3x + 4 - lim x → – 3 x – 5 -

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Q: find the limit of x^2/1-4x^2 as x approaches infinity

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Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: 4) Determine the limit. lim 1 f(x), where f(x): X + 10 X-- 10-

A: Given, f(x)= 1/(x+10)

Q: Evaluate the limit numerically. x + 4 lim x--5- x + 5

A:

Q: When finding the limit  lim x2 +5x+1/3-2x x-> infinity How do I find the limit?

A: Evaluate

Q: For solving a limit problem lim f (x)(*) which is in the form of indeterminate power, here are the…

A: We have given limx→af(x)g(x) which is in the form of indeterminate powerlet y=limx→af(x)g(x) taking…

Q: Find the limit of the function (2x ^ 2 - 4x)/(x + 1) as x increases without bound

A: find limit as 'x' increases without boundlimx→∞ 2x2-4xx+1

Q: Find the limit. 9x6 - X lim x 00 x34 3

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Q: Numerically determine the limit 8+x3 limx--2 2+x

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Q: calculate the limit lim x→3  x2-2x-3/x2-4x+3

A: Given limit is,limx→3x2-2x-3x2-4x+3 which is the form of limx→cf(x)g(x)       where c = 3, f(x)…

Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→0-xx

Q: Find the limit  x appraoaches infinity (e )- x2

A: Given: limx→∞e-x2 limx→∞1ex2

Q: Find the limit using direct substitution. 3x + 2 lim x-1 1-X 1 -x

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Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→4-x-2x-4

Q: estimate the limit numerically to two decimal places or state that the limit does not exist

A: Given limit is  We will evaluate this limit by direct substitution because exists at x=-2, that is…

Q: Evaluate the limit 5 + 2x lim 8 – 8x x → 0

A: We haven the function is: f(x) = (5 + 2x)/(8 - 8x)  Dividing the numerator and the denominator by x…

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Left hand limit: Right hand limit:

Q: Evaluate the limit of (x2 - x - 6)/(x2 + 3x + 2) as x approaches -1.

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Q: Find the limit if it exists. lim (2x+3) X--2

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Q: Use L-Hospital Rule to find the limit as x goes to infinity (1-(3/x))^(2x).

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Q: Evaluate the limit. x2 + 2x – 15 lim- x – 3 X-3

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Q: Find the limit lim x →∞ √1+ 2x + 9x² -2x + 5

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

Q: what is the limit of x^4 plus x^5 as x approaches negative infinity?

A: Evaluate the limit of

Q: find the limit of  limitx->1(x3-1)/(x-1)

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Q: Find the limit of f(x) = 4x+8/7x+3 as x approaches infinity and as x approaches negative infinity.

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Q: Evaluate the limit, if it exists. If not, enter "n" below. x2 - 4x - lim x→-1 r² 3x – 4 - -

A: We have to find limit

Q: Find limit of x approaching 3: f(x) = x2-2x-3/(x3-5x2+7x-3)

A:

Q: find the limit if it exists at infinity lim=5x^2+7x-9/-6x^2+2

A: Given, limx→∞5x2+7x-9-6x2+2