MacBook Pro 13 Late 2011: Maximum RAM Upgrade = 8GB or 16 Gb, which speed ?
To answer the question :
I note that the processor type is I5.2435 M (not easy to found : OS system information of apple menu should give it, but does not).
Then you look to intel processor characteristics.. on Intel site.
You see the I5.2435 processor can pilot up to 16 Gb !
If you see the ram speed it is done for, you have the choice between 1066 and 1333 Mhz (Apple 's choice)
So you can put 16 Gb (2 X 8) of DDR3 Ram so-dimm of 8 GB each, speed of 1333 Mhz.
Careful : 1,35 and 1,5 Volts DDR3 are both Ok, but NOT the 1,2 volts DDR3 !
Anyway, the memory chipset accept up to 1600 Ghz memory speed : the speed adjustment is automatic.
Impossible to found if he can run up to 1866 - 1867 Mhz. The forums gives antagonists answers about that.
I wonder, if you accelerate the memory up to 1600, if the total efficiency will be higher than using 1333 ram, because the ram cycles will not exactly match the processor cycles..
But i do not know enough to answer that question.
Anyway, my MBP late 2011 is now running faster that my 2015 mac book air, with Samsung 870 EVO 1 Tb SSD upgrade (in place of mechanic 500 GB HD) and 16 Gb of 1333 DDR3 upgrade (in place of 1333 DDR3 4 Gb..)...
I do not recognize him...
It can be on and full operational, including typing password, in less than 20 sec...
You can also upgrade MBP late 2011 to High Sierra manually (first install El Capitan, or it does not work with an error message letting you thing a download error) from the latest OS upgrade proposed by initial OS upgraded threw official procedure.
This is better because it continues to accept the upgrades of Chrome and other programs...
You found the information on Apple site, on OS High Sierra page : see accepted mac models.
On the description page of MBP late 2011, he just indicates OSx Lion, and not the High Sierra upgrade possible.
Earlier Mac models