I would call this a misuse of diverge.
One thing may be said to diverge from another, or two or more things may be said to diverge from each other, and in both cases the from phrase may be left unspoken if its oblique is recoverable from context.
In this case, however, it is a single range which is said to diverge, and it is not clear that it diverges from anything in particular. It seems that what the author means is something like:
The ranges of devices &c available respectively to the haves and to the have-nots will diverge.
The problem may arise because the author tangles up two different applications of the term range: on the one hand it refers to an expanding range of devices &c on the market, and on the other to the relatively narrow range of devices &c available to the have-nots. I'd write something like:
But the expanding range of connectivity, devices and services will mean an increasing gap between those who have access to these goods and those who do not.