What is the limit as x goes to 0 for (e^x-1-x)/x^2?

Q: find the limit as x approaches 1 from the right of  ln(x^9-1)-ln(x^7-1) using L'Hospitals' rule

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Q: Estimate the value of the limit to 3 decimal places.  limit as x appraches -1 of 1 plus x to the…

A: The given limit is, limx→-11+x31+x13. Note that, the given limit is in the indeterminate form. Apply…

Q: What is the limit of (sinx)/x if x approaches to 0?

A: Given: A function limx→0sin xx and x approaches to 0. Since sin xx is an intermediate form of type…

Q: Find a limit if FedEx says if it does not exist right in DNE limit X to zero cosx tanx/2x

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Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: Evaluate the integral. S tan (2x) sec (2x) dx .5 Find the limit

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Q: Express dx as a limit of left Riemann sums but do not attempt to eval- x2 uate the limit.

A: Given, ∫-11-6 5x2dx

Q: Express the limit as a definite integral on the given interval. lim (5(x)3 – 7x]Ax, [2, 6] n- 00 = 1…

A: Consider the given limit and interval. limn→∞ ∑i=1n5xi*3−7xi*Δx and interval=2,6 Now, go through the…

Q: Evaluate the definite integral by the limit definition

A: Here,

Q: Express the limit as a definite integral on the given interval. lim [9(x;")³ – 4x;]Ax, [2, 8] i = 1…

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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: Compute the limit as x approaches infinity of x^e-x

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Q: Express the limit as a definite integral.

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Q: find the limit. limit as x approaches 0  sin4x/sin6x

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Q: Express the limit as a definite integral on the given interval. n X;* -Дх, [1, 9] lim (x;*)² + 4 n-…

A: limn→∞∑i=1nxi*xi*2+4∆x,    1, 9 Here, fx=xx2+4, a, b=1, 9

Q: Express the limit as a definite integral on the given interval. x lim n- 00 -Ax, [1, 6] (x/)2 + 6 dx

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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: Evaluate limit as x approaches 0 from the right of (1+x)cotx

A: Given, limit expression

Q: Compute the limit as x goes to 0 of [tan(x) - sin(3x)] / (x^2)

A: limx→0[tan(x)-sin(3x)]x2=[tan(0)-sin(3(0))]02=00

Q: Express the limit as a definite integral on the given interval. lim (2-5(x,)² + 6(x;")³] Ax, [0, 4]…

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Q: Find a function that has x^6 as its derivative without using integral knowlegde.

A: In this question, we need to find a function that has x6 as its derivative.

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: (4) Find the limit by interpretting the limit as as an appropriate derivative. (DO NOT USE…

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Q: Express the limit as a definite integral on the given interval. lim -Дх, [1, 4] (x;")² + 9 i = 1 dx

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Q: compute limit as x goes to 0 of (sin(x)-x)/(x^3)

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Q: compute lim as x goes to infinity of ln(x)^1/ln(x)

A: Consider the equation

Q: Find the limits. sinh 3x 1) lim arctan 2x

A: We have to find limit

Q: Express the limit as a definite integral on the given interval. lim n - 00 -Дх, [1,5] (x*)2 + 6 dx

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Q: Express the limit as a definite integral on the given interval. lim n- 00 [4(x;)³ – 4x;"]ax, [(2, 7]…

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Q: Express the limit as a definite integral on the given interval. lim Ax, [1, 4] (x;)2 + 3 dx Need…

A: Given query is to write the expression as integral.

Q: adient of f in diro

A: Given function is: f(x,y,z) = xy + yz2 + xz3.

Q: compute limit as x goes to infinity of xe^-x

A: Given,            limx→∞x e-x

Q: How do you approximate a limit numerically AND graphically?

A: We always evaluate limits from both the left and right directions and if they match, then, the limit…

Q: Evaluate the definite integral by the limit definition. 3x2 dx

A: Please refer the attached image for complete solution. THANK YOU.

Q: limit as x approaches 0+ (in the positive direction) of the function (sqrtx)^x

A: Given, f(x)= (sqrt x)^x= xx/2 = eln(x^(x/2)) = e(xln(x))/2

Q: Estimate the limit numerically or state that the limit doesn't exist: sin(6z) lim (Enter DNE if the…

A: The given limit,limx→0sin(6x)x

Q: By considering different paths of approach, show that the function below has no limit as…

A: on solving this we get

Q: Prove: the limit as x approaches 0 1-cos(x)/x=0

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Q: Express the limit as a definite integral on the given interval. n exi lim -Ax [0, 9] n→∞ i = 1 6 +…

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Q: How many times do you have to apply L'Hopital's rule to evaluate the limit x- sinx lim x+0 x²

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Q: Express the limit as a definite integral on the given interval. lim S 19(x/)³ – 8x;]Ax, [2, 5] 1

A: The definition of definite integral is, ∫abf(x) dx = limn→∞ ∑i=1n f(xi*)△x   in the interval a, b…

Q: Express the limit as a definite integral on the given interval. cos X Дх, [Зя, бя] lim 6x X dx 3x

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

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Q: express the limit as a definite integralon the given interval

A: Question: Answer:

Q: Express the limit as a definite integral on the given interval. lim [9(x,")³ – 4x†]Ax, [2, 6] n- 00…

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Q: lim (x²Vx* – 1 – x*)

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Q: Give the definition of the definite integral as a limit using the right endpoint approximation.

A: Let's find.

Q: Express the limit as a definite integral on the given interval. lim [9(x*)³ - 2x*JAx, [2, 9]

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Q: Find the limit for the following functions: x-sinx 1-lim, x-Vx² + 2x 2- lim,-o

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