Problem 227 (difficulty: 5/10)

Prove that if the sequence \(\displaystyle (a_n )\) is bounded and all of its convergent subsequences tend to \(\displaystyle b\), then \(\displaystyle a_n \to b.\)

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government