i hope Grandpa is going to like living with us.这里为什么用living而不用live?

好象like doing something 都是用来表达"一直都喜欢" .

而like to do something 都是表达某一次的愿望之类. 如:
i would like to go for a walk with u.

like后面只能加doing sth. 或是to do sth.
这是固定搭配

like to do ...或like doing ...
like后面不能直接加动词原形

like doing

be going to 的to 后面用动词的原形，但是like 后面要用doing ，也就是动词加上ing
like 后面可以用 to 也可以用doing

语法问题多背背