×

# Help Me! Functions, limits and continuity

Hey guys,

Today I came across a question about the function $$f(x)$$, which takes the value $$x$$ when $$x \in Q$$ and the value $$1-x$$ when $$x \notin Q$$. Is this function continuous at any point?

I thought that $$f(x)$$ would be continuous at $$x=0.5$$ since the left and right hand limits seem to approach $$0.5$$ near $$x=0.5$$.

Am I correct? If so, why? If not, why?

Thanks!

Note by Raj Magesh
1 year, 4 months ago

## Comments

Sort by:

Top Newest

Do you know what is the delta epsilon definition of a limit? Staff · 1 year, 4 months ago

Log in to reply

Thanks a lot! I went through the wiki and worked out the answer to my question. The epsilon-delta definition is broader than the one I learnt in school... · 1 year, 4 months ago

Log in to reply

hi · 11 months ago

Log in to reply

Hey. · 11 months ago

Log in to reply

How are you · 10 months, 4 weeks ago

Log in to reply

Great, you? · 10 months, 4 weeks ago

Log in to reply

These are called drichlet functions and these are continuos when both equations are equal · 1 year, 4 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...