Configuring preferences and options in Outlook.com
I am likewise having the same issue. I have disconnected and reconnected but the emails keep coming.
They are legitimate Microsoft emails and link to the area where I can manage all accounts linked to my Microsoft account.
I have received these emails on:
7/16 (twice), 7/18, 8/3, 8/9, 8/13, 8/29 (twice), 9/2
Sometimes I just attempt to reconnect, others I disconnect/reconnect but the results ultimately are the same. It loses connection.
I do use multiple Windows PC's, a Surface RT, and a Windows Phone 8 which all connect to this Hotmail account.