Problem 1101 (difficulty: 4/10)

Show that if \(\displaystyle |a_n|<\frac1{n^2}\) for all positive integer \(\displaystyle n\), then \(\displaystyle \sum a_n\) satisfies the Cauchy-criterion.

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