Performance counter MSSQLInstance\SQL Errors\Errors/sec\Info Errors whats in it?
I dug a little deeper myself and it seems that the definition of information errors is errors with severity 10 according to the documentation of Severity and found my specific "Info errors" by profiling on the User Error Message Event.  In my case it was database context switches with the message:


  Changed database context to 'DBNAME'


and language changes with the message 


  Changed language setting to us_english


And a few of the ones that @aaron-bertrand mentions