After browsing serverfault and superuser for a while, I have noticed many posts about wireless router connection limits such as this one and this one. The sane limit for a router (without dropping connections excessively) seems to be around 40 (at most). Is there an explanation for why this limit exists?
closed as not constructive by SvW, mdpc, John Gardeniers, Khaled, Ward Jan 1 at 9:35
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With the most capable (and yet affordable) wireless access points I know of, you'll still only get 30-50 clients per AP. Remember a client is a single device, but on average, a user has 2.5 devices.
The general reasoning behind this is that most APs have a single radio, and there's a reasonable limit to the amount of traffic a single radio can handle. Much like there's a limit to the amount of traffic a road can handle, before it becomes congested.
There are some wireless APs (or rather, arrays) which can handle 200-300 clients, but unless they're all sat in the same place, you'd be better off with a network of APs, each with 20-50 clients each, and with a controller to handle per-access point hand-off, and roaming.
The comparison to 14.4k modems isn't apt. In the case of an access server with a bunch of modems attached, each client has a dedicated connection and its own share of bandwidth. In the case of wireless all clients are sharing the same radio frequency space. As the client density on a given AP increases, the likelihood of contention for this available resource also increases. The 40-some-odd client is a guideline and can vary based on client activity (among other things).
This issue is independent of what actually tended to be an issue with access servers, which is oversubscription of uplink bandwidth. Several hundred 14.4 users being directed out of a single T1 meant an often untenable degree of resource contention but that contention wasn't between the client and the access server but rather between the access server and the rest of the world (vs the wireless case where contention occurs between client and access point).