The purpose of this paper is to present some results regarding the limit is
of the sequence
![](//static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Aarticle%3AS0025557200006537/resource/name/S0025557200006537_Ueqn1.gif?pub-status=live)
In the problem proposed by A. G. Ioachimescu in 1895 [1], it is asked to be shown that the sequence
, defined by
, for each
, is convergent and its limit lies between -2 and -1.
There have been given many generalisations and other results regarding Ioachimescu's problem in the literature (see, for example, [2, problem 3.1, p. 431], [3,4], [5, Theorem 1, parts (a) and (b)], [6, problem P2, parts (i) and (ii)], [7, 8]).