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anonymous

  • 5 years ago

Describe the continuity of the following func: f(x,y)= [(x^3)+(y^3)]/ [(x^2)+(y^2)]

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  1. anonymous
    • 5 years ago
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    Infinite discontinuity at f(0,0)

  2. anonymous
    • 5 years ago
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    I lied, jump discontinuity at f(0,0)

  3. anonymous
    • 5 years ago
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    what if the question is f(x,y)= x/ [(x^2)+(y^2)] it remains the same, right?

  4. anonymous
    • 5 years ago
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    it changes to an infinite discontinuity

  5. myininaya
    • 5 years ago
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    yes but it is infinite dis.

  6. myininaya
    • 5 years ago
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    daniel are sure the first one is a jump?

  7. anonymous
    • 5 years ago
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    Yes, because of L'Hopitals in comes to be 0

  8. myininaya
    • 5 years ago
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    f(x,y)=[(x+y)(x^2+xy+y^2)]/[x^2+y^2] nothing cancels so there is no jump unless i'm totally just not thinking

  9. myininaya
    • 5 years ago
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    oops f(x,y)=[(x+y)(x^2-xy+y^2)]/{x^2+y^2}

  10. anonymous
    • 5 years ago
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    It doesn't matter. Use L'Hopitals with partial derivatives because it comes out to 0/0 if f(0,0)

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