x² – 2r – y? + 1 x² – 2r + y? + 1 Let f(x) Use the Two-Path Test to show that lim (1, y)-(1,0) f(x) and f(x) does not exist. (Hint: Examine lim (1, y)-(1,0) (along y = 0) lim (x, y)-(1,0) (along x = 1) f(x) first.)

Q: lim (2,1)→(0,0) xª + 4y²

A: The given limit is,

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A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

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Q: Q1. Find the domain of the functions f(r) = V(2 -1)(r -7) and g(r) = In(r² – 4)(3-r). Also determine…

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Q: x³f(2)-24 If f(x) is differentiable at x = 2 and lim,-2 = 28, then f (2) = %3D x-2 Select one: О а.…

A: B correct

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A:

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Q: #4 Find the limit or show lim y²-x² that it DNE (Gy)-> (11) y x y ³

A: Answer is 2Explanation:

Q: lim (x,y)-(2,4) x² +x/F-2y x-Vy %3D ||

A: Solve the limit

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A: Given function is  fx=356x The domain, range and asymptote of the graph of the function are…

Q: 1. (a) (b) Find and sketch the domain of the function f(x, y) = = Show that x²y² lim (x,y) →(0,0)…

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Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

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A: According to our policy at Bartleby, I can solve only three sub- parts. Given a function :…

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Q: Find x² + 5y²-5 lim 2 (x,y) →(5,2) x² + y² +3 x² + 5y² - 5 lim (x,y) →(5,2) x² + y² +3 2 (Type an…

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Q: x²-y² lim (x,y)→(−1,1) x²−xy−2y²

A: Approach to solving the question: To find the limit lim⁡(x,y)→(−1,1) x²−xy−2y²x²−y²​ , we need to…