5xysin ³²x + 3y²f(x, y)0,(a) Prove that lim; if (x,y) + (0,0)if (x,y) = (0,0)f(x,y) does not exist.(x,y) = (0,0)3) Determine if f is differentiable at (0,0)?Explain why or why not.

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Answered: 5xy sin ³²x + 3y² 0, f(x, y) (a) Prove…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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5xy sin ³²x + 3y² 0, f(x, y) (a) Prove that lim T if (x,y) + (0,0) if (x,y) = (0,0) f(x,y) does not exist. (x,y) = (0,0) b) Deturmine if f is differentiable at (0,0)? Explain why or why not.