g(x)=0 if x is rational

g(x)=x if x is irrational

for what values of x is g continuous?

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- Dec 6th 2006, 09:39 AMmyoplex11tough continuity problem need help
g(x)=0 if x is rational

g(x)=x if x is irrational

for what values of x is g continuous? - Dec 6th 2006, 09:44 AMThePerfectHacker
Have you ever heard of "Dirichelt" function?

Same idea.

The limit that we approach a point bt rationals needs to be the same as we approach the limit by irrationals. In that case $\displaystyle x=0$ is the only continous point.

Look Heir - Dec 6th 2006, 10:30 PMmyoplex11
i understand why it is continous a x=0 but i need to justify this mathematically

- Dec 7th 2006, 04:37 AMCaptainBlack