What is the difference between "verb＋て＋みる" and "verb＋(よ)う+とする"?

Question

In Japanese there are words which mean "to try something or attempt at doing something", e.g. 試す, 試みる and つとめる. However, at the same time we also have two grammatical constructions "verb＋て＋みる" and "verb＋(よ)う＋とする". In English we just say "try to do something" or "attempt something", but in Japanese it is not that simple. So what is the difference between all these different expressions? Precisely when is each used?

Answer 1

A verb +てみる means to try to do something new, so you can't use this construction if you have done "something" even once. On the other hand, verb +ようとするmeans "You are about to do something", "Not something new".

E.g. すしをたべてみる。→I will try sushi. (Eating sushi is his or her first experience.)

E.g. すしをたべようとする。→I am going to eat sushi. (He or she is about to eat sushi. (Eating sushi is "not" his or her first experience.))