"To convince the employer" means to persuade or influence the employer to believe or agree with something, usually for your own benefit such as getting a job or a raise. Full definition
Your executive resume is beyond important in convincing an employer of this. (careerdigital.com)
But a good cover letter can work wonders in convincing an employer of your credentials and your professionalism, as well as providing insights into your personality and character. (hudson.hk)
This helps in convincing the employer about your seriousness for the job and places you one step higher than the competing candidates who have no knowledge on the hiring company and their offered services. (coverlettersandresume.com)