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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Originally Posted by venturozzaccio 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? Try converting to polars: .
sorry I make a mistake writing. the real one is : limit x,y->(0,0) (( x^2 ) * ( y^4)) / (|x^2|+|y^4|)
Originally Posted by Prove It Try converting to polars: . This is really nice
yes but about the revised question?
Use the exact same process. You will still be able to cancel enough 's to be able to evaluate the limit.
so the result is still 0 ?
Originally Posted by venturozzaccio so the result is still 0 ? Correct.
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?
Originally Posted by venturozzaccio 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? I get that the limit is ... .
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.
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