There is no arbitrary limit. Any increase in cable length will reduce signal strength. (So will the connectors that you'll need to connect another length of cable to this one.) As Burgi and DavidPosthill said in the comments, how much it's reduced for a given length depends on the cable and the frequency.
A common relatively inexpensive cable for short runs of WiFi antennas is LMR100. At 2.4 GHz (the common WiFi band), 15 feet of LMR100 will result in signal loss of about 6 dB. That's equivalent to dropping power to just 25% of what it was. (Each 3 dB = 50% gain or loss in power)
With LMR400 cable, your loss would be only about 1 dB! (But that cable is more expensive, and also a lot less flexible = more difficult to install.)
The loss in dB is linear with the cable length. So if you use 30 feet of LMR100 cable, your loss will be 12 dB (i.e. your signal is now about 1/16 the power that it was). With 7.5 feet, loss will be only 3 dB (you lose half of your signal).
All of the above numbers are for the 2.4 GHz WiFi band. For 5 Ghz it will be much worse.
Don't even think about using RG59 (the older, thinner coax that used to be used for TV cable and antennas and commonly is seen with "F" or BNC connectors attached; it's not even the right impedance) or RG58 (the right impedance, but still very lossy at these frequencies). These cable types aren't rated at all for use above 1 GHz.
You can find data sheets (with signal loss graphs) and calculators for various types of microwave coax all over the web. Here's a calculator (found at a cable dealer) that covers a wide variety of table types.
And to convert dB to ratios (or back), try this (Note, since this is signal loss we're talking about, enter the dB number as a negative number before pressing "calculate". Note also that you want the power ratio, not voltage.)
One last tip: Don't try to assemble cables yourself. Buy cables with the right connectors already attached. Very minor-seeming mistakes with connector assembly can cause huge losses at these frequencies. And absolutely do not cut the connectors off and try to splice the coax. Might as well throw the antenna away at that point.
9Surely this depends on the quality of the coaxial cable you purchase? – Burgi – 2016-06-02T21:42:18.060
3Signal loss occurs along every foot of coaxial cable. The amount of loss is dependent upon the frequency of the signal, the length of the coaxial cable run and the quality of the cable used. Different types of Coaxial cable have different attenuation per foot of run so it depends on which type of cable you use. – DavidPostill – 2016-06-02T21:59:59.197
2You're asking wrong question. The real one is: how to extend WiFi coverage? And the answer is "get a repeater". – Agent_L – 2016-06-03T15:18:42.417
3This antenna is not meant for base stations. It's for desktop PCs, so you can use a WiFi card in the back, but move the antenna to the front. Basically to stop the PC from blocking itself. Routers are small enough that you can move the whole thing to best location. – Agent_L – 2016-06-03T15:21:28.500
5@Agent_L At least in my experience, most WiFi repeaters are pretty terrible. You're way better off using additional wired access points, often that's so even if you have to wire them through the powerline. But I definitely agree about positioning routers or access points -- try to put them where you want them, extending the Ethernet to them if needed. – David Schwartz – 2016-06-03T19:37:54.030
There's most likely be a max cable length, after which the delay is too much for the protocol to handle. USB handles about 5 meters, for example. – Filip Haglund – 2016-06-04T11:57:30.463
@Filip Haglund Do you actually have any sources for that? In traditional RF applications, usually what happens is that power at the end of the cable is too low to make useful connection or that received power is too low to be detected by the receiver. I haven't seen any WiFi documents that talk about dispersion inside of the cable or stuff like that before. – AndrejaKo – 2016-06-04T15:01:03.507
1@DavidSchwartz With every WiFi question the answer "drop WiFi, use cable" is so obvious that I assumed it's already known. – Agent_L – 2016-06-06T10:53:22.817