Let g(x, y) = x4 + y² – 4x³ + 5x – 6y+3. Show that g(x,y) continuous (actually at least aC') function y = f(x) in a small neighborhood of x = 0, y = 0. 3 defines a

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A: We have to find .

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: To explain why the given function is entire, given function is: fz=5z4−6+zcosz−z3ez

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A: Topic = Limits and  Continuity

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A: Follow the procedure given below.

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A: We will find out the required solution.

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A: Explained below...

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A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5…

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