In this article, we cover everything you need to know about writing a resignation letter without notice and provide an example to get you started. The standard here in Texas, an "at will" employment state, is to give two weeks notice.Work Separations - General. No advance notice of termination or resignation is required. If notice period is not mentioned in appointment letter, you may resign without notice. Regards. In Texas we are under no obligation to accept the two week notice and it is still considered a resignation because they demonstrated intent to leave. This resignation letter sample provides your employer with a letter for your file and also suggests that you've done everything you can to remain professional. In this article, we discuss what to include in a professional resignation letter and we share examples of resignation letters you can use for reference. Learn how to write a professional two weeks notice letter with our easytouse template. The standard here in Texas, an "at will" employment state, is to give two weeks notice.