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Showing a function f is continous on R^n and f(x) = c.x is continus on R^n confused!

  1. Oct 11, 2005 #1
    Hello everyone, i'm so lost on these 2 questions...they are:
    http://img437.imageshack.us/img437/5193/q30pi.jpg
    if that link sucks try this one:
    http://show.imagehosting.us/show/789841/0/nouser_789/T0_-1_789841.jpg

    Question 2:
    http://img437.imageshack.us/img437/8540/q47ni.jpg
    mirrior:
    http://show.imagehosting.us/show/789846/0/nouser_789/T0_-1_789846.jpg

    I know a function f of two variables is called continuous at (a,b) if
    lim (x,y)->(a,b) f(x,y) = f(a,b);
    We say f is continous on D if f is continuous at every point (a,b) in D.

    Also If f is defined on a subset D of R^n, then lim x->a f(x) = L means that for every number E > 0 there is a corresponding number delta > 0 such that |f(x)-L| < E wherever x is a subset of D and 0 < |x-a| < delta. But i'm so lost on how i'm suppose to even start these 2. thanks.
    Note: the BoLDED variables means they are vectors. and E is suppose to be epsalon or however u spell it
     
  2. jcsd
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