- #1
sergey_le
- 77
- 15
- Homework Statement
- Prove that if for any two sequences (xn), (yn) Which are sustained lim(yn-xn)=0 Happening
limf(yn)-f(xn)=0, Then f is uniformly continuous at R (hint: Use proof of Heine–Cantor theorem)
- Relevant Equations
- Heine–Cantor theorem
The first thing I thought about doing was to prove that f is continuous using the Heine–Cantor theorem proof.
But I do not know at all whether it is possible to prove with the data that I have continuous.
I would love to get help.
Thanks
But I do not know at all whether it is possible to prove with the data that I have continuous.
I would love to get help.
Thanks