Determine the limit of function of the following equations а) lim x? – 2xy + 3y? – 4x + 2y – 3) (х,у)-(2,-1)

Q: Use the limit definition to compute f '(a) and find an equation of the tangent line.

A: Answer: f'(-2)=-1

Q: Show that the function has no limit as (x,y)→(0,0) f(x,y)=x4/(x4+y2)

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Q: Find the value of the limit lim tan 2 x (a) 1/3 (b) 2 (c) 1 (d) 4 (e) 3

A: To find:

Q: Find the limit lim Vz +1 Enter I for o0, -I for-oo, and DNE if the limit does not exist. Answer

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Q: x³ + x²y+ 2y³ x² + y? ,3 lim (x,y)→(0;0)

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Q: Compute the limit or state that it does not exist. (If an answer does not exist, enter DNE.) xy2 lim…

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Q: Find the limit for the following functi * - y + 2Vx - 2Vy Vx - Vy lim (x, y)(0,0)

A: solve the limit

Q: Find the limits by rewriting the fractions first.

A:

Q: Find the limit. 1+x? lim arccos 1+ 2x2

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

Q: Does the following limit exist? Justify your answer. 2.x2 – xy? - lim (x,y)→(0,0) x² + 2y?

A: First , we find the limit along two different paths . *If two different paths have different limit…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 9- xy lim (x, y) (1, 2) x² +…

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Q: Find the limit of the exercise below.

A: Factor the numerator using a^2-b^2=(a+b)(a-b) formula. With a=t and b=4

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x² lim (x, y) → (0, 0) (x² +…

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Q: 8. Calculate the following limits. 3 + 4x² + 2y? xy – 2x – y + 2 (a) lim 2x2 + y? (b) lim…

A: (a) Limit does not exist. (b) The limit is zero.

Q: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

Q: Investigate whether the limit exists lim (r,y)→(0,0) x²y² + (x – y)²

A: Given :                           lim(x,y)→(0,0) x2y2x2y2+(x-y)2  To find :…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) xy lim (x, y)→ (0, 0) x² +…

A: Given limit is: L=limx,y→0,0xy4x2+y8 Let y = mx.

Q: Calculate the limit or show it is nonexistent. ry²e lim (r,y)→(0,0) x² + 4y4

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) xy + 7yz² + 8xz² (x, Y, 2)-…

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Q: Find the limit. 5xz - 7xy P (1, - 1, 0) x2 + y2 - z2 lim %3D O 5 7/2

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Q: (d) Determine the following limit using u-substitution method: sin(t - 1) lim -1t2 +t – 2

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Q: Find the limit, if it exists.

A: make the substituion x=-x :limx→-∞-x2+x2x=limx→∞ x2-x2x limx→∞x2−x2x=(limx→∞x(x−1)x2)…

Q: Find the limit: o-4t 6. lim t→0 4 – 13' 17 + t to

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Q: Evaluate the limit: 1-Cos(9h) lim h h >0

A: Find the limit When we plug in 0 for h, the denominator becomes 0 So it is undefined.

Q: The limit lim (x,y) →(-2,-5) exists and is equal to -20. Select one: O True O False 25x²-4y² 5x-2y

A: The objective of the question is determine the limit existing.

Q: Evaluate this path limit: 4.xy3 =??? lim (x, y)¬(0, 0) 2x² +y6 x=y3

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + y lim (x,y) → (0, 0) x²…

A: To evaluate: lim(x,y)→(0,0)x+yx5+y

Q: Find the limit (2x + y)² lim (x,y)→(0,0) 4x² + v² (Enter dne if the limit does not exist)

A: WE CAN FIND LIMIT . So , we can find limit along the line y=mx .i.e, we can choose path.If for every…

Q: Find limit, or show that it does not exist. 2x²y (x,y)¬(0,0) x*+y2 lim

A: Consider the given: limx, y→0, 02x2yx4+y2Find two different paths to approach the point that gives…

Q: Determine the value of the following limit and show that it exists. lim (x,y)→(0,0) x2 + y?

A: If left hand limit and right hand limit is equal between the squeezed function then the limit…

Q: Find the limits in Exercise

A: Given : limh→055h+4+4

Q: B. Calculate the limits of the following functions.. 1. limx¬-1(2X2 + X + 4) 2. limy--2(y3 + 5y – 1)…

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Q: Find the limit. x²y lim (x,y) → (0,0) x² + 8y²

A: limx, y→0, 0x2yx2+8y2

Q: Find the limit if it exists. g³ – xy? lim (a) (1,9)→(0,0) x² + y²

A:

Q: Find the value of the.limit Olim Jx+z - V3 X+2 @lim Vx+6 x3-2 X+2

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrary chosen positive…

Q: Find the Limit et – 1 lim t→0+ t3

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Q: Let f(x, y) = 2*. Find fy(1, 2) using the limit definition.

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Q: Show that the limit does not exist. xy? - 1 lim (Ky)→(1,1) y-1

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Q: The graph of fCx) below To evalvate tue following limits. Ao lim fex) 104 9. B. ling fCX) C.lim f(X)…

A: Given, graph of fxTo find: limx→2-fx limx→2fx limx→4fx limx→5fx limx→∞fx

Q: Find the limit or show that it does not exist

A: To find:

Q: Find the limit: 4z4 – 4y4 lim (1,9) → (3,3) 4yª z² - y?

A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

Q: Find the limit if it exists. lim (x.y)->(0,0) VxZ4 yz

A: find the limit

Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y¹ x² - y²

A: The given limit is: limx,y→3,34x4-4y4x2-y2  To find the value of the limit.

Q: If xz? f (x,z) = x² + z4 Does limr2)a(0.0) f(x, z) exist? Find the limit if it exist.

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Q: 4x2+5y²+- lim (x,y)→(1,-2) 4x²-5y2+e

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Q: Show for the function has no limit as (x,y) → (0,0) f(x, y) 5y3 x°+2y3

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Q: Find the limit: lim (1,y) → (0,0) x² + 8y?

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