What is an expression that you can use at the end of an informal email, when you forgot something and want to add it to the email after your signature?
Learn English – A proper closing expression for informal email
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When working in England, I've found that "Regards" is most common, even amongst parties that have a good relationship.
When working in Australia, "Best regards" is much more commonly used. Using simply "Regards" would seem quite standoffish.
I'm not sure which is most applicable in Denmark.
No, that just sounds weird. The "thank you" as an email signature is sort of a generic thank you to close the email with. You are being thanked for your time, any help or information you might be giving them, etc. You would be better off just signing off with a "thank you" of your own:
Thank you,
Signature
If they specifically thanked you in the body of the email for doing something, you could possibly say "You're welcome".
Dear X,
Thank you for organising such a big event. It was a big success with our clients. I have some questions for you about blah blah blah and I was hoping you could get back to me.
Many thanks,
Signature
Dear Y,
You're welcome. In answer to your questions, blah blah blah.
Best wishes,
Signature
However, unless they are thanking you for something big, "No problem" would be better. For example if they just said "Thanks for the quick response", then "You're welcome" would not be appropriate. Ignoring it is also okay and possibly even preferable, as long as you add in a few polite words and thank yous of your own. This is because emails are sent with a whole message all in one go, and "You're welcome" is a verbal response meant for a back-and-forth conversation. If you ignored a thank you in person it would probably be rude, but in a letter or email you don't need to reply to every line as long as you remain courteous as a whole. For some reason "no problem" fits in better to the email format than "you're welcome".
There was a recent topic on the differences between "you're welcome" and "no problem", but little of it applies to written communications. The email format is quite different because it's more of a missive than a conversation (whereas text or online messaging is still a conversation, even though it's written). However, you might still find reading around the topic interesting/useful so I have included it.
In summary, a lot of the time it would be more normal to not respond to the thanks directly (especially if it's just a signature-thanks) and just sign off with a "Thank you" or "Many thanks" of your own.
Best Answer
You can use either P.S. or N.B. For informal articles, P.S. is the apt choice.
P.S. being post scriptum, and N.B. (nota bene) if it is something important you want to draw the reader's attention to.
Source : http://en.wikipedia.org/wiki/Nota_bene
http://en.wikipedia.org/wiki/Post_script
P.S. : In case of an email, the text can be altered, even if you forget to write something. And if you have already sent it, then you will have to send a mail again, including the matter you wanted to write.