Where does (x-3)/(x^2 -6x+9) have a removable discontinuity?

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

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Q: Calculate limit of (square root of x^3-1)-x^2 as x approach to positive infinity. Thank you!

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Q: Find the limit of the square root of (4x^(6)-x) over (x^(3)+3), as x approaches positive infinity

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Q: Find limx->∞,if for all x>5

A: We apply limx->∞ on all sides.

Q: Vx +1-1 2. lim

A: we have to find limit

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: symmetri

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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 domain and asymptotes of  fx= x^2+x-2 over x^2-2

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Q: Evaluate the limit 4x + 11 lim 5x2 – 3x + 9

A: I am attaching image so that you understand each and every step.

Q: 5. Differentiate using quotient rule: x+2 y x-2

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Q: Use the Quotient Rule to compute

A: To compute ∂∂yxx+y using Quotient's Rule.

Q: 1. Use the Product Rule to differentiate y = x³(2x + 1)*.

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Q: Determine whether 8ory-- ∞ as メマ- co and x→。 2. y= -3x°-5x²+7

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Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: Evaluate the limit 6x3 6x2 – 5x |- lim 7 3x 6x3 - -

A: Evaluate the limit in the following way:-

Q: 3. Let fx) --2x (x² - 9)(x*-1) Determine

A: Please find attachment for the details solution

Q: Find the total ancd neguon between x-axis and the gruph of y==X2 - 3X, -7sx52

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Q: Does local extrenum of x(sqrt(4))- x^2 exist?

A: Given function is: f(x) = x . {sqrt (4)} - x^2 f(x) = 2x - x^2 ; [consider the positive value of…

Q: What is the x=g(x) that will diverge the root of f(x) = x3 + 4x2 - 10?

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Q: Find: lim --9 ,2_9x x2-9x x→9

A: We have to find value of  Limit x tends to 9  (x-9)/(x^2-9x)

Q: find ganeral From of taylak Seriesot FOA-In(3t4xl, about X-0 %3D

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Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

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Q: 32x4-5x+11 lim x-∞0 4x3-12x4

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Q: Does (Z11 , + , .) have subfields? In this case which subfields.

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Q: Evaluate f132 if lim f1x2 = 5, lim f1x2 = 6, and f is right- xS3* xS3- continuous at x = 3.

A: Known fact: A function f is said to be right continuous at a point a if limx→a+fx=fa.

Q: x³ - 125 lim x-5 x - 5

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Q: Determine whether yy00 ory-y – ∞ as x-7-a∞ Ond x-7∞, 2 =x=-4x²-4x-8

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Q: Find l- elodw no X -1 X -> / /-

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Q: Use the Quotient Rule to compute:

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Q: Evaluate the limit 7x2 2.0 2x +3 lim 3x +4

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Q: what do you get when you expand x+4/xy^2?

A: We can make it easier for you

Q: Why ane absoluete value bars necelsary in the ancuees for some integrels, and not in others?…

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Q: find the limit of (sqrt(3x2+x))/(4x-1) as x approaches infinity

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Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: OFind the inlagral of : S(725(フスーヴxりー23x +4ズ)(1-4で

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

Q: Determine the upper bound on the error in the approximation – 16x5 + 256x° if |x| < 0.2 - 1+16x4

A: Given:x1+16x4 ≈x-16x5 + 256x9

Q: Find the averuge valuc of the function fcx)-4x4 on the interval [2,6],

A: Given : fx = 4x4

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

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Q: What is the square root of 3x+6dx with the upper limit of 1 and lower limit of 0?

A: To evaluate the given definite Integral

Q: Does relative extrenum of x(sqrt(4-x^2) exist?

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Q: Show that: sec²x + csc²x = sec2x.csc2x %3D

A: To show: sec2x + cosec2x = sec2x·cosec2x

Q: Vx In xdx 1

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Q: Use Giramer Rule to Find ,z -2x + 33-Z = 1 メ+29-2-4 -2x -+7 = -3

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Q: What is the coefficient of x'y' when (x – 2y)² is expanded using the - Binomial Theorem?

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Q: By applying product rule to find y' 3 (1+x*) x4 - x*

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Q: Find theindefinite inaegrel de 6X [362-25

A: Given integral, ∫dx6x36x2-25