Evaluate the following limit tan(3r³+3y³) lim (a)-(0,0) 62³ +6y³ O O O O O 1|2 2 0 + 32²-3y The limit does not exist.

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

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Q: C. Prove that the limit does not exist. 1. lim (xy)-(0,0) x*+3y

A: We need to prove that limit does not exist.Below find the details solution in image.

Q: Evaluate the following limit: tan(4x + 4y¹) lim (z,y) →(0,0) 8x4 + 8y4 O O O O O 4 11 0 2 2 + 4x² -…

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Q: Va² –3 –2 \, x2+1 lim x→-1

A: Given: limx→-1x2-3-2x2+1

Q: cos 2x–1 lim COS х— 1 cos x-1

A: limx→0cos 2x-1cosx-1

Q: x 5* lim Find the limit: X+0 5 – 1

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Q: 5. Find the limit or show that it does not exist. sin(x – 1) lim 2 x→1 x´ + x -2

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Q: (z^ + zx^)uj b) Find the limit lim (x,y)-(0,0) x² +y2 In

A: (b)…

Q: x2 – 1 lim а—1 х — 1

A: We have  Limit exist as number and the number is 2.

Q: Find the limits sin (Vr – 3) lim х — 9

A: Limit of a function is the value it tends to when the input value tends to some value. A limit is…

Q: 1 lim (x + 2)² cos x→-2 г2 — 4

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Q: Evaluate the limit 3(y²1) lim y 4 7y²(y-1)³

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Q: 5. Evaluate the limit: Vx +1 lim x→1 4x -4

A: Limit at a point exists if left-handed and right-handed limits exist and they are equal. Left-handed…

Q: 10x? .2 +11гу + у? lim (л,у) —(-1,10) 10а2 — 39ху — 4y2

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Q: lim xy + 2y - 3x - 6 (x, y) 4, 3) y +3 y-3 2 O 6

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Q: Find the limit

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Q: evaluate the limit.

A: Given:

Q: 3. Evaluate the limit algebraically or explain why the limit does not exist 3r2 – 2x – 8 lim x² – 4

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