Recent content by quantchem

  1. Q

    Real Analysis Continuity problem.

    I did this : let |f(x) - f(y) | < epsilon and |x - y| < delta. then epsilon < delta and therefore for each epsilon > 0, there is some delta > 0 such that |f(x) - f(y) | < epsilon when |x - y| < delta. so f is continuous at y when x is in an interval where f is defined. Is this sufficient...
  2. Q

    Real Analysis Continuity problem.

    Homework Statement Show that |f(x) - f(y) | < |x - y| if f(x) = sqrt(4+x^2) if x is not equal to xo. What does this prove about f? Homework Equations The Attempt at a Solution Already proved the first part. I am guessing that for the second part the answer is that f is...
  3. Q

    Proof of continuous. f(x+y)=f(x)+f(y)

    What is the exact difference between the h = x-a and h =x-b step? What is the point of doing both steps?
  4. Q

    Particle in 3D Box: Degeneracy of E14 & Why Interesting?

    hello, i didn't understand why 333 or 551 would be 4 fold degenerate. can you please explain it to me. thanks