- #1
Kruger
- 214
- 0
Homework Statement
I've to show that if f:R->R is continuous in x' then f is limited in a suitable environment of x'.
2. The attempt at a solution
My lecturer said we should use the following inequality
|f(a)|=<|f(a)-f(y)|+|f(y)|
But how should I go on, I know I have to show something like this:
It exists d>0: it exist c element of [x'-d, x'+d]=I ==> |f(x)|=<|f(c)| for every x in I.
But how should I go on?