remember to do 记得去做某事　(未做)
remember doing　记得做过某事　(已做)

Remember to go to the post office after school.
记着放学后去趟邮局。
Don't you remember seeing the man before?
你不记得以前见过那个人吗?

cease to do　长时间，甚至永远停做某事。
cease doing　短时停止做某事，以后还会接着做。

That department has ceased to exist forever.
那个部门已不复存在。
The girls ceased chatting for a moment when their teacher passed by.
姑娘们在老师走过时，停了会聊天。

try to do　努力，企图做某事。
try doing　试验，试着做某事。

You must try to be more careful.
你可要多加小心。
I tried gardening but didn't succeed.
我试着种果木花卉，但未成功。