Why Wont My FPS Go Above 60?
Bandicam should not be limiting your framerate while it is not in use. In Minecraft go to Options
-> Video settings
to make sure that VSync
is "Off" and that Max Framerate
is "Unlimited".
I doubt it will be having an effect if you're sure you've closed it, but you can also check the framerate limit in Bandicam in the FPS tab: