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(x_{1})-f(x_{2})| < E

for every choice of x_{1}and x_{2 }in I( a, d ).