# Definition of limit

1. Sep 16, 2005

### kidia

Please I need help on this one.

Use the $$($$ $$\varepsilon$$ ,$$\delta$$ $$)$$ definition of limit to prove that

lim $$($$x+y/$$x^2$$+$$y^2$$+1$$)$$=0
(x,y)$$\rightarrow$$(0,0)

Last edited: Sep 16, 2005
2. Sep 16, 2005

### Hurkyl

Staff Emeritus
Well, what have you done on this so far? Do you know of any similar problems that you do know how to do?

By the way, I'm pretty sure you meant (x+y)/(x²+y²+1), not x+y/x²+y²+1.

3. Sep 16, 2005

### kidia

No Hurkyl,I havent done this kind of limit help me.And it is

lim $$($$x+y/$$x^2$$+$$y^2$$+1$$)$$=0
(x,y)$$\rightarrow$$(0,0)