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#1 2008-11-04 18:45:47
- sarsalan
- Member
- Registered: 2008-11-03
- Posts: 16
Function of Multi-Variables
Let f(x,y) = (x^2-2xy+5y^2/3x^2-4y^2)
a. Find the domain of f(x,y).
b. By using different paths, show that whether the limit of f(x,y) exists at the origin or not.
c. Is the function continuous at origin? Justify your answer.
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#2 2008-11-05 04:04:52
- luca-deltodesco
- Member
- Registered: 2006-05-05
- Posts: 1,470
Re: Function of Multi-Variables
please clarify your equation: is it:
[(5y^2)/(3x^2)] - 4y^2
or
(5y^2)/(3x^2 - 4y^2)
The Beginning Of All Things To End.
The End Of All Things To Come.
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#3 2008-11-05 04:21:24
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Function of Multi-Variables
I'd have interpreted it all as one big fraction.
Why did the vector cross the road?
It wanted to be normal.
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