Originally Posted by

**JMUmath** Well, for this problem, we are only working with limited knowledge and other theorems we've proven. Pretty much all we have to work with is assuming recip is a function and the definition of continuous that we are given:

Suppose X is a subset of the reals, f is a function from X into the reals, and p is an element of X. The statement that f is continuous at p means that if V is segment and f(p) is an element of V, then there is a segment, call such segment, call such a segment U, so that

i) p is an element of U,

and

ii)if q is an element of U intersect X, then f(q) is an element of V

The statement that f is continuous on X means that if p is and element of X, then f is continuous at p.

Sorry for lack of symbols, I'm new.