1.inform: tell sb. about some facts 用法近似tell sb. sth.
notify: tell sb. offically and formally about... 用于比较官方的场合
I would like to inform you that I have now removed my office to the above address.
2.We take the liberty of acquainting you of it, and solicit the preference of your order. 可以用语跟客户请求订单的情况。
我方已在本市开设贸易与总代理店, 特此通知。同时, 恳请订购。
Having established ourselves in New York, as merchants and general agents, we take the liberty of acquainting you of it, and solicit the preference of your order.
3.We are pleased to inform you that... 我们很高兴的通知您...
Eg: We are pleased to inform you that the order has been completed yesterday and find attached sample pictures for your reference. Please kindly proceedthe final payment.(可以用语订单完成，或者是样品完成时等等情况)
We are pleased to inform you that the vessel now is approaching your port.
4.Noticeis hereby given that 特此公告
Eg: Noticeis hereby given that the booth of xxx company will be NO. xxx in xxx EXPO. （可以用展位信息的公告，可以放在网站上）
Noticeis hereby given that the annual general meeting of the shareholders of our company will be held at the xxx on May. 1.
5.By this 这时
By this we inform you that we have today realeasd the B/L. Please arrange thebalance payment as sson as possible.