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## Homework Statement

A function f: R -> R such that f is continuous at a point c if and only if c is not an element of the set: { m\2^n: m,n in Z, n>=0)

## Homework Equations

Definition of continuity/discontinuity?

## The Attempt at a Solution

Is it enough to say that we can define a piecewise function where f(x) = 0 if x is an element of the described set, and f(x) = x otherwise....then we maybe have continuity at points such as irrational numbers?