. Let f(x, y) = x² (y-1) x²+(y-1)² Determine the existence of limit lim f(x, y) (x,y)-(0,1) ху y = 1-1 Let f(x, y) = e²x²-3y². Show that the critical point of f(x, y) is a sa

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A: (a) Given fx,y=1+x2y2-1x2+y2,  0,0. Investigate the limit of fx,y at the point 0,0.

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A: Use the definition of limit to prove that the limit is 0. lim(x,y)→(0,0)x sinyx+y

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A: The given function is; f(x,y) = 8xy /(x2+y2)

Q: กำหนดให้ f(x, y) = xy cos.x x² +3y²

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Q: 3) Examine the limit of 1 (x² +y²).sin- x*+ (x, y) (0,0) f(x, y) = (0, (x, y)=(0,0)

A: Solution:Givenf(x,y)=x2+y2 sin 1x2+y2To Eamine the limit of a functionFormula:limx→0 sin xx=1

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