Can anyone provide examples of when we would write to inform, request or persuade, or build goodwill in the business world?
You write to "x" when you want to "x" someone.
For example, you write to "persuade" when you want to "persuade" someone. It's that simple.
Wheres the example?
In your brain. Use it.
Here are some sites related to persuasion, written or otherwise:
http://www.members.cox.net/dagershaw/lol/Persuasion.html
http://www.members.cox.net/dagershaw/lol/QuestionFrame.html
http://www.members.cox.net/dagershaw/lol/MeanNewsMedia.html
http://www.members.cox.net/dagershaw/lol/MediaPower.html
http://www.members.cox.net/dagershaw/lol/MediaMakeMost.html
http://www.members.cox.net/dagershaw/lol/InfluenceAntecedents.html
http://www.members.cox.net/dagershaw/lol/InfluenceMorePrinciples.html
http://www.members.cox.net/dagershaw/lol/InfluenceStillMore.html
I hope you can generalize some of these examples to the business world. Thanks for asking.