Domain f(x,y) & Limits

• Nov 6th 2008, 08:34 PM
jillin
Domain f(x,y) & Limits
Hello! I just found this forum after failed attempts to get what I need from my text book; I hope someone here can help me.

let f(x,y)=((5x^2)(y))/(2x^4+3y^2)
- How would I get it's domain?
- How can I determine it's limit. (I know I need to know its domain to find the limit)

• Nov 7th 2008, 03:04 AM
Mathstud28
Quote:

Originally Posted by jillin
Hello! I just found this forum after failed attempts to get what I need from my text book; I hope someone here can help me.

let f(x,y)=((5x^2)(y))/(2x^4+3y^2)
- How would I get it's domain?
- How can I determine it's limit. (I know I need to know its domain to find the limit)

This function has no "problems" considering it's only plausible one would be a point which makes the denominator zero, but $\forall(x,y)\in\left(\mathbb{R},\mathbb{R}\right)\ quad{2x^4+3y^2\ne{0}}$

Therefore I suppose what limit you could find would be both

$\lim_{(x,y)\to(\infty,\infty)}f(x,y)$

And $\lim_{(x,y)\to(-\infty,-\infty)}f(x,y)$

Both of which equal zero.