Hey guys not sure where to go with this, I am generally ok with delta epsilon questions but Im stuck here. I have a Summer test Thursday and supposedly something similar will come up.
Suppose that f(x) approaches L as x approaches a. Show that there corresponds to each positive number E (epsilson) a positive number d (delta) such that,
|f(x1)-f(x2)| < E
for every choice of x1and x2 in I( a, d ).