Geodesic
On Certain Problems in the Theory of Sequences
Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 229-231

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We are well-acquainted with the theorem about sequences which states that, the existence of (1) is sufficient to imply limk→∞ak = 0. Partially out of a growing interest in the theory of regularly varying sequences ([1]), and probably as an interesting problem, in and of itself, some mathematicians have tried to find conditions weaker than (1) that would guarantee limk→∞ak = 0. 
Higgins, Rada. On Certain Problems in the Theory of Sequences. Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 229-231. doi: 10.4153/CMB-1975-044-3
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