Use the given definition of continuity to prove f is continuos at 0.
Definition: For all £>0, there exists a k such that abs(f(x)-f(a))<£ for all x such at
F(x) = 1+x^2 when x>_0 , f(x)= 1-x^3 when x<0
I have trouble understanding the implications of the definition of continuity.
I have that abs(f(x)-f(0))=abs(f(x)-1) but don't what to do next.