3.- Determine if the limit of the following functions exists or does not exist. Explain your answer. a) x6-3y5 lim (x,y)-(0,0) x4+6y12 lim In (x,y)-(0,0) x4+4

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A: The given rational function is 3x2+x2y2+3y2+3z2x2+y2+z2. Evaluate the limit along the line y=0,z=0.…

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A: Suppose L is limit value of given Limt

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A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: Evaluate lim (x,y) →(0,0) x³ +35x² + 7y²2 5x² + y² 11

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Q: a. Consider f(x) i. lim f(x) = x →0¯ ii. lim f(x) = +0+* = iii. lim f(x) = x→0 iv. f(0) = = v. lim…

A: In this question, we will find the limits.

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Q: (g) lim (x- Vx +x - Vx-x (h) lim 3x²

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Q: (込) 6. (d) lim x→3x-3 x² -9

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A: To find the limit of given function.

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Q: 1. Find the following limits: и7—4u5-6и? +14и (1) lim и-о 2и7+4u6+17u2 х2-3х-10 (2) lim X→-2 х+2

A: