Problem 1122 (difficulty: 4/10)

For which \(\displaystyle c \in \R\) is the series

\(\displaystyle \sum_{n=10}^\infty\dfrac1{n\cdot\log n\cdot(\log\log n)^c} \)

convergent?

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