Try to put your servlet directly under Web-inf/classes
instead of put it in your pkg coreservlets.
See if it works.
As my exp, I usually create the package under webapps,
then Web-inf/classes is directly under that directory.
All servlets are placed under classes.
then go to URL:
localhost:8080/pkg_name/servlet/servlet-name
I think I had a similar problem when not putting a
servlet in the class directory but in another dir
which is under class dir.
Hope this helps.
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