If the computer build model sales year information per how that is properly used
is correctly applied to the exact one you happen to have, the specs I find say that
it can use up to 16GB RAM (memory chip) of 8 GB each across two slots. However
the Apple nomenclature often suggests less, as based on the time of manufacture
and what had been tested by the supplier hardware at that time, the numbers vary.
[In the following 'how to identify MacBook/Pro models' their numbers say less, than
the aftermarket reputable firms have tested to be viable and useful upgrade totals.
Same difference with second linked support page: conservative recommendation.]
• How to identify MacBook Pro models - Apple Support
• MacBook Pro: How to remove or install memory - Apple Support
Sources such as OWC (other world computing) aka macsales.com &/or Crucial.com
are among a few whose upgrade product is tested and guaranteed by them to work.
That is, if you have correctly identified the computer unit model positively, since the
specs of the chips vary over time, and within the brand series model sales, as well.
• RAM upgrade example, read compatibility details:
http://eshop.macsales.com/shop/memory/Apple_MacBook_MacBook_Pro/Upgrade/DDR3_133 3MHz_SDRAM
If your 15-inch MacBook Pro (Late 2011) is positively identified correctly, this is it:
{information & image courtesy of http://mactracker.ca download database application}
And there are other sections of information to be seen from that source. A good online
source to read for comparison data build model & sales model is http://everymac.com
Since I don't save all these details to easily copy-paste, the links have been tested as I apply them
here; so if you really have a Late 2011 model (not an Early 2011, or other) they're correct. Another
way to speed up a portable would be to upgrade from a rotation hard drive, to a solid-state-drive.
There are limits to what will work properly, & how to install them correctly. See OWC instructions.
They have a page of helpful video instructions linked at the bottom of their drive replacement page.
Or check into the iFixit.com repair guides for details on how to upgrade/replace parts in sequence.
•MacBook Pro 15-inch Repair Guide - iFixit:
https://www.ifixit.com/Device/MacBook_Pro_15%22
Unibody MB/Pro 15-inch repair guide(s)
https://www.ifixit.com/Device/MacBook_Pro_15%22_Unibody
Note in the OWC memory upgrade page, they show supported RAM memory modules, for best
results with a dual-core or quad-core Intel processor, matching capacity (& quality) RAM chips
are recommended. However the unit may work OK for awhile with a small capacity in one slot
and the highest capacity in the second. This may save some initial expense, but a better upgrade
would be to replace both, carefully, & with product from reputable source who tests/guarantees
the product to work in the Apple computer and OS X. Some suggest this, but don't measure up.
In any event...
Good luck & happy computing! 🙂