2x? +3y2 Let f(x, y) = Set y = mx and show that the resulting ху limit depends on m, and therefore the limit lim f(x, y) does not (x,y)(0,0) exist.

Q: Find the limit 24 + 1ª lim z→–li z4 + 1²iz²

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Q: Evaluate the limit lim Y→ 2 5(y² - 1) 4y² (y - 1)³

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Q: 2. Use the paths x = y and x = 0 to verify the limit. lim (x.y)-(0,0) x2+y²,

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Q: x² - y 7. Show that the function 8(x,»)= *²-y has no limit as (x,y)→(0,0). х— у

A: Along two different paths value of limit are different then limit does not exist

Q: 2 メーズ Lim メ→&-X

A: Evaluate: limx→∞ex-x2ex-x

Q: (d) S (1, y) = sin (2), (x, y) # (0,0) 0, (x, y) = (0,0) (e) , r + y # 0 7+y x² + y = 0 0, f (x, y)…

A: Limit of a function: A function f is said to tend to a limit l as a point x, y tends to the point…

Q: x² sin +y f : R² → R, ƒ (x, y) = %3D x + y

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Q: Find the limit or show that it does not exist t y lim (x,y)→(0,0) x² + y²

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Q: f(x)-f(b) Let f (x) be a function of x. Then f' (b) = lim,→b provided the limit exists. x-b True…

A: Given derivative is, f'b=limx→bfx-fbx-b

Q: Find the limit 3x2 + 3y? lim (г,у) — (0,0) (va /2? + у2 + 4 — 2

A: To find the limit Let, L=lim(x,y)→(0,0)3x2+3y2x2+y2+4-2 Direct substitution of x and y will give 0/0…

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: 19. Find the limit lim X48 3-8x 3x²-2

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Q: Find the limit - 11ay lim (z,y) → (2₁,31) 49x² - y² lim (z,y) → (0,-6) lim (z,y) → (2,14) -11zy 49x²…

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Q: Evaluate f(3 + h) – f(3) lim h-0 where f(x) = 4x + 2. If the limit does not exist enter DNE. Limit =

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Q: Q8:- Find the limit of the following functions:- x² – 2xy + y² (1) Lim (х,у) > (0,0)( X#y ху — у- 2х…

A: We have to find the limit of the following function