- #1

rainwyz0706

- 36

- 0

## 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!