How do I enable the feature in Windows 8 that will let me connect to my computer remotely via Microsoft's terminal services client?
Is there a way to change the connection limit, so that more than one account can connect?
Yeah, you can work it. One of the better OS persons has done this. To be OK with this, you should have TS or RDP CAL licenses registered to you. If you don't care, it will not check, though.
Given you're talking Windows 8, I'll assume you meant Remote Desktop.
First of all you need to be running Windows 8 Pro in order to be able accept Remote Desktop Connections. The standard edition of Windows 8 doesn't not include this ability.
To enable accepting remote connections, press Win + X then Y. Choose Advanced system settings. Under the Remote tab, select, Allow remote connections to this computer.
Only one person will be able to have a session open at a time. If you're looking for a multi-user environment you are going to need a server OS with Terminal Services running.
Press +W, search for “remote”:
Click Allow remote access to my computer:
Enable the Allow remote connections to my computer radio box:
If you are the sole administrator user on the computer, then you already are allowed to connect, otherwise you may need to click Select users ....
And on Windows 8 (i.e. not Server 2012) there can only be one user connected at a time, because, frankly, it's a consumer OS, not a Terminal Server. I think there was a way of bypassing this by copying DLLs over from the Server OS and/or patching something, but that way lies madness. You can just as well install Server 2012, then.
Are you looking for Remote Desktop? If so, there is a how-to for enabling it on Windows 8 here.
Summary: Go to Control Panel > System and Security and click "Allow remote access" under the System section. Go to the Remote tab, and choose "Allow remote connections to this computer" under the Remote Desktop section.
If you're looking for multiple concurrent connections, it seems that support for that was removed back in XP. There are workarounds for older OSes (such as this) but I don't think there are any for Windows 8 yet.