Problem 201 (difficulty: 2/10)

Prove that if \(\displaystyle (a_n)\) is convergent, then \(\displaystyle (|a_n|)\) is convergent, too. Does the reverse implication also hold?

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