Let f : A --> R be a function, and let c in A be an isolated point of A. Prove that f
is continuous at c
The Attempt at a Solution
I'm kind of confused by this problem.... if c is an isolated point, then the limit doesn't exist. So I can't really use the fact that a function is continuous at c if for all epsilon>0 there exists a delta>0 such that whenever |x-c|<delta, it follows that |f(x)-f(c)|<epsilon.
Any hints would be great!