Recent content by Robultronic

  1. R

    Undergrad Alternate form of the quadratic formula

    Why does the accuracy become better when we move the arithmethics to the divisor ?
  2. R

    Show that f(x) = sin(x^2) is continuous for all a [-sqrt(pi), sqrt(pi).

    I think I solved it, I will write it down when I get home so someone can tell if its correct or not, but have to go now.
  3. R

    Show that f(x) = sin(x^2) is continuous for all a [-sqrt(pi), sqrt(pi).

    Lol, that simple, thx. I kept thinking I had to use the interval in the proof somehow and not just say a = the interval. OK, that I can do. How about b?
  4. R

    Show that f(x) = sin(x^2) is continuous for all a [-sqrt(pi), sqrt(pi).

    I'm supposed to use the definition of continuity. I know how to show continuity at a point, but have no clue of how to do it for an interval.
  5. R

    Show that f(x) = sin(x^2) is continuous for all a [-sqrt(pi), sqrt(pi).

    Homework Statement Given f : [-\sqrt{\pi}, \sqrt{\pi} ] \rightarrow [-1, 1] f(x) = sin(x^{2}) a) Show that f is continuous for all a \in [-\sqrt{\pi}, \sqrt{\pi} ] b) Find a \delta so that |x - y| \leq \delta implies that |f(x) - f(y)| \leq 0.1 for...