Thread: Limit for multivariable calculus

Question Details:
My question asks to find the limit of f(x,y) = y/x but they tell you that
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.

Originally Posted by kelaroo

Question Details:
My question asks to find the limit of f(x,y) = y/x but they tell you that
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 then the limit is zero. If then the limit is 1. Therefore the limit cannot exist.

ok, i understand that it DNE.

is there any purpose for the inequality?

Originally Posted by kelaroo

is there any purpose for the inequality?

No