Frankly speaking: forgetting to write the date of birth when submitting your resume will have some influence, not because of carelessness, but because the employer can't know your age! You can't judge the truth of your work experience! I wonder if you meet their age limit! However, if you are outstanding in other aspects, this is not a very important question, they will call directly to ask! In addition, if you care about this job very much, I suggest you send another resume to the employer! Good luck ~