Recent content by idochemistry

  1. I

    Epsilon-Delta Proof with 2-Variable Polynomial

    would be the right side?
  2. I

    Epsilon-Delta Proof with 2-Variable Polynomial

    Waiiiiit. 4δ2 + 180δ6
  3. I

    Epsilon-Delta Proof with 2-Variable Polynomial

    Isn't |x2+2+3xy+180xy5| ≤ δ2 ie. it doesn't matter what you add to the right side because it will always make δ2 larger, in this case?
  4. I

    Epsilon-Delta Proof with 2-Variable Polynomial

    Okay. So, |x| ≤ \sqrt{}x2+y2< δ and |y| ≤ \sqrt{}x2+y2< δ Then, |x2+y2+3xy+180xy5| < δ+δ+3δ2+180δ6 Right? Also, thank you so much!
  5. I

    Epsilon-Delta Proof with 2-Variable Polynomial

    Sorry, I meant to say that x2+y2 < δ^2 I am still very confused. Can I do something like this? 0 ≤|x2 + y2 + 180xy5| ≤ x2 + y2 + |3xy| + |180xy5| ≤ |3x2y2|+|180x2y5| = |3x2y2(|1+60y3|)
  6. I

    Epsilon-Delta Proof with 2-Variable Polynomial

    Homework Statement Find a specific number δ>0 such that if x2 + y2 = δ2, then |x2+y2+3xy+180xy5 < 1/10 000. Answer: Choose δ < 0.002 Homework Equations ε-δ def'n of limit: lim (x,y) → (a, b) f(x) = L if for every ε > 0 there exists a δ > 0 such that 0 < √(x-a)2+(y-b)2, |f(x) - L| < ε...
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