(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

3. 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!

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# Homework Help: Discontinuity at certain points

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