Basically, Microsoft Azure didn't provide any email services out of the box. But, If you want to use the email services then the best way to send emails from your azure account is to use SMTP relay provider like SocketLabs.
These are the steps to do it.
1. Create an account with SocketLabs.
2. Try to connect your Azure web app to SocketLabs SMTP server.
3. Start sending emails.
Hope this will work fine.
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