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Question Number 979 by 123456 last updated on 11/May/15
how to proof that f(x,y)=xy is of class  C^∞  near some region of 0?
$$\mathrm{how}\:\mathrm{to}\:\mathrm{proof}\:\mathrm{that}\:{f}\left({x},{y}\right)={xy}\:\mathrm{is}\:\mathrm{of}\:\mathrm{class} \\ $$$$\mathrm{C}^{\infty} \:\mathrm{near}\:\mathrm{some}\:\mathrm{region}\:\mathrm{of}\:\mathrm{0}? \\ $$

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