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Problem 1: Is f(x,y)=x^ 2 y+3x^ 3 y^ 4 -x+2y continuous at (0, 0) ? Where is it continuous?

User MoonGoose
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1 Answer

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27 votes

A 2-variable function continuity ,at (0,0)

Its continue at (0,0) if is defined at this point and its near points

then replace x by (x+h) , and find limit when h goes to zero.

Then f(x,y) at (0,0) = O

Now when x and y are going to zero

User Sergei Shushkevich
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