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## Homework Statement

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

## Homework Equations

## 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!