# Thread: example of a continuous function that is not bounded?

1. ## example of a continuous function that is not bounded?

If we let a and b be real numbers with a < b, what would be an example of a continuous f on [a,b) which is not bounded, and what would be an example of a continuous f on [a, $\infty$) which is not bounded?

for the first one would 1/x-1 work? and for the second part would f(x)=x work?

2. The second is correct, for the first one, generally $\frac{1}{b-x}$ works (I assume that's what you meant..)

3. Originally Posted by Defunkt
The second is correct, for the first one, generally $\frac{1}{b-x}$ works (I assume that's what you meant..)
Yes, when I was working on the problems I figured it would be easier to see it by actually knowing what a and b were. I guess I didn't change it. Thank you

4. error , please cut this message