Hi! I am new and I can't solve this limit:

limit x,y->(0,0) (( x^2 ) * ( y^4)) / (|x^6|+|y^4|)

Can anyone give me a hand?

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- May 21st 2010, 07:20 AMventurozzacciotwo variable limit
Hi! I am new and I can't solve this limit:

limit x,y->(0,0) (( x^2 ) * ( y^4)) / (|x^6|+|y^4|)

Can anyone give me a hand? - May 21st 2010, 07:35 AMProve It
- May 21st 2010, 08:45 AMventurozzaccio
sorry I make a mistake writing.

the real one is :

limit x,y->(0,0) (( x^2 ) * ( y^4)) / (|x^2|+|y^4|) - May 21st 2010, 01:17 PMAllanCuz
- May 21st 2010, 02:16 PMventurozzaccio
yes but about the revised question?

- May 21st 2010, 09:25 PMProve It
Use the exact same process. You will still be able to cancel enough 's to be able to evaluate the limit.

- May 22nd 2010, 03:54 AMventurozzaccio
so the result is still 0 ?

- May 22nd 2010, 05:58 AMProve It
- May 29th 2010, 06:00 AMventurozzaccio
ok. but if the limit is

limit x,y->(0,0)

then I have

And following the previous example this should be 0 again. But this time the limit doesn't exist. where I make a mistake? - May 29th 2010, 06:48 AMProve It
- May 29th 2010, 07:10 AMventurozzaccio
I think it's not true. Just because if you set x=y the limit is 0. But if you set x=y^2 then the limit is 1/2. So limit change according the way you approach to (0,0) and for this it doesn't exist.