Limit for multivariable calculus

• Oct 16th 2008, 08:55 AM
kelaroo
Limit for multivariable calculus
Question Details:
My question asks to find the limit of f(x,y) = y/x but they tell you that http://qaboard.cramster.com/Answer-B...9275003858.gif
Then you have to find the limit for (0,0).

I don't understand how the inequality works. When I look at the limit just using the regular definition of a limit, you get that the limit DNE.

I don't know what to do next.
• Oct 16th 2008, 10:11 AM
ThePerfectHacker
Quote:

Originally Posted by kelaroo
Question Details:
My question asks to find the limit of f(x,y) = y/x but they tell you that http://qaboard.cramster.com/Answer-B...9275003858.gif
Then you have to find the limit for (0,0).

I don't understand how the inequality works. When I look at the limit just using the regular definition of a limit, you get that the limit DNE.

I don't know what to do next.

There is no limit. If $y=0$ then the limit is zero. If $y=x$ then the limit is 1. Therefore the limit cannot exist.
• Oct 16th 2008, 12:57 PM
kelaroo
ok, i understand that it DNE.

is there any purpose for the inequality?
• Oct 16th 2008, 06:22 PM
ThePerfectHacker
Quote:

Originally Posted by kelaroo
is there any purpose for the inequality?

No