davitykale said: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?
davitykale said:I think I'm confused...wouldn't that mean that c is continuous when it is an element of the given set?
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