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Employers have egos, just like people.
The first thing is to avoid the mistake of applying generically. After that, you need to convince an employer that you learn fast and will work hard. Sometimes it is easier to apply for a job when no jobs are posted. On the assumption that, in this job market, most are hiring pretty regularly. So if your experience is limited, someone might be intrigued enough to take a chance on you on a contract basis rather than go into a full-time hire.