- #1
rainwyz0706
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Homework Statement
1.Find a function f : R → R which is discontinuous at the points of the set
{1/n : n a positive integer} ∪ {0} but is continuous everywhere else.
2. Find a function g : R → R which is discontinuous at the points of the set
{1/n : n a positive integer} but is continuous everywhere else.
Homework Equations
The Attempt at a Solution
I'm thinking of making f(x)=0 at points that f is discontinuous and f(x)=x everywhere else. But that only works for 2, not 1, right? Could anyone give me some hints? I'm not sure what the question is asking for. Thanks!