Recently my Macbook Pro Retina Late 2013 has started to shut down unexpectedly while running on battery. I thought it was because of my CPU was too hot but it was not the case. When checking it further, I found that my battery status is "Service Battery". I used coconutBattery to check and found that the Full Charge Capacity of my Mac is insanely low. I could be sure that it was around 90% last week and suddenly now it dropped to 46.9% of the Design Capacity.
I tried resetting SMC like many other said but unfortunately, it did not work for me. One symptom I saw before having this issue is that my Macbook temperature was quite high. I could feel the obvious difference in temperature between my Macbook and others' at the office when touching my hand on it, I guess my Mac was about 10 degree Celsius higher than others.
Is anyone here had this issue before? Should I replace my battery completely? Is it possible to replace the battery only on this Mac, I think it is nonremovable?