Suppose $f$ is a real valued function defined on $\mathbb{R}$ which satisfies $$\lim_{h\to 0} [f(x + h) − f(x − h)] = 0$$ $\forall x \in \mathbb{R}$. Does this imply that $f$ is continuous in $\mathbb{R}$?
A possible answer can be $f(x)=c, c\neq 0$ $\forall$ $x\in \mathbb{R}\setminus \{0\}$ and ...
@MartinSleziak I've just removed it, since it doesn't seem like a very useful tag. The past meta discussions show that this has never been a very popular idea.
I'm wondering if tags for example Durret's Probability book would be allowed.
I think that when one is reading a book, it would be interesting what doubts other user had when reading the same book. It can improve our learning experience.
I'm wondering if tags for example Durret's Probability book would be allowed.
I think that when one is reading a book, it would be interesting what doubts other user had when reading the same book. It can improve our learning experience.
