Compute the limit as xà1 of f(x)=(x^2-5x+4)/(x-1), if possible

Q: Find the limit of limx->-1 (x3-2x2+5)

A: Since this is a polynomial function,we can calculate the limit by direct substitution. We have The…

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

A: Divide by highest denominator power of the function:

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

A: Given: limx→2x-2ln3x-5 Here we get an indeterminate form, Therefore by using the L-Hospital rule,…

Q: Find the one-sided limit

A: To find:limx→-4- x2+2x+4

Q: find its limit.

A:

Q: Compute limit as x goes to infinity of (square root(2x^2+3x-1))/(7x+1)

A: =limx→∞2x2+3x-17x+1multiply and divide by x2=limx→∞2+3x-1x27x+1x2=2+3∞-1∞7∞+1∞=∞

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

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Q: Calculate the limit lim 2√(x-4) / (x-4) As x goes to 4

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Q: Use the limit definihon of the that gex)= derivative to show 9(x)= 3 3 has denvahre X+5

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Q: Find the limit, If it exists. x- 1 lim X---

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

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Q: Find the limit. If the limit does not exist 6x +23x - 4 lim X-4" X + 4x

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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: Find the Limit (sin3x)/(5x^3-4x)

A: Obtain the limit value as follows.

Q: What is the limit of x/-x+7 as x--> -7?

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

A: In the direct substitution method, straight way substitute the limiting vailue of x in the given…

Q: Evaluate the limit. lim     ex-x2x  →∞

A: limx→∞ex-x2

Q: calculate the limit limx→0  x3-3x2+x-5

A: To evaluate , limx→0 x3-3x2+x-5

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

A: Given: fx=x4

Q: Compute the limits that exist. lim x---0, x2 + 3x/x

A: Given: limx→0x2+3xx

Q: Evaluate the definite integral. ∫√3x+6dx upper limit of 1 and lower limit of 0

A: In definite integral, we first integrate the integral usually like indefinite integral then we put…

Q: What is the limit of (ln 2x+5)+4 as x approaches -1?

A: In the question it is asked to calculate the limit of following function given.

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hopital's Rule. sin(9x) lim 7x…

A: We have to find the limit

Q: Evaluate the limit |x lim x+6 x - 6 - 6| If the limit does not exist enter DNE. Limit =

A: Evaluate the limit

Q: Calculate the limit if it exists: lim x→4 for 5/(x-4)2

A:

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

A: Obtain the value of the limit as follows.

Q: Find the limit by rewriting the fraction first. ху - Зу - 7x+21 lim x-3 (х.у) --(3,6) X+3 ху - Зу -…

A: Factories the numerator and cancel out common term than put the limit.

Q: Establish the x² - x + 1 lim +2 3 %3D By using the 4. x+2 € - 8 definition of limit or the…

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

A: limx→23x−95x−25 Since we have an indeterminate form of type 00 Apply the L' Hospital's rule:…

Q: Evaluate the limit lim as x-->inf (2-x)(6+9x)/(3-4x)(4+2x)

A: Expand the numerator and denominator.

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

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Q: Evaluate the limit, if it exists.

A: The given expression is limx→-2x+2x3+8

Q: Estimate the limit numerically  limx→4 √x−4/x−16=

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Q: How can the definition be used to verify limit statements for specific functions?

A: Let fx be the function of x. If for every positive number ∈ , however, small it may be , there…

Q: In VT lim x2

A: Solution and Explanation is given below....

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

A: The value of the limit is 2. Take the first term as common term and simplify.

Q: Compute limit as x goes to infinity of (4x^3 +6x-2)/(3x^3 -2x^2+x+1)

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Q: Suppose fx) -2x2-3x. To compute f'(x), which Limit should be evaluated?

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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: find the limit limx -> 3 of [root(x+6) -x] / (x^3 - 3x^2)

A: To determine the limit of given function.

Q: Find the limit. x + 3x - 10 lim x+5 x--5

A: It is given that,       limx→-5x2+3x-10x+5 We have to find the limit.

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

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Q: Only one of these calculations is correct to evaluate the limit lim

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Q: find the limit of  limitx-> -6- 1/(x+6)

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

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Q: Find the limit:    limx 2(4x2 + 3).

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Q: of z->-1 8x^4

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Q: Calculate the limit limx→∞(1+6x)x.

A: limx→∞ (1+6x)x   = limx→∞ (x+6x2) = limx →∞ x + limx → ∞ 6x2 = ddx x + ddx 6x2 = ddxx + 6× ddx ×…