When checking your email, you may sometimes see an error message stating, “You may have exceeded the maximum number of connections to this server.” This is because email servers are usually protected with rules that limit the number of concurrent connections from each IP address.
If you try to connect to your email using multiple computers with multiple email clients, you can exceed the maximum number of permitted connections.
However, this is only a temporary restriction. To resolve the error, you can do this by quitting your mail programme or restarting your computer and this will clear the open connections to the mail server you are connecting to.