Problem 180 (difficulty: 4/10)

Show that the sequence \(\displaystyle a_n\) is bounded if and only if for all sequences \(\displaystyle b_n\to 0\) the sequence \(\displaystyle a_nb_n\) also tends to \(\displaystyle 0\).

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