Auxiliary verbs in Chinese work pretty much the same way as auxiliary verbs in English.
What is an auxiliary verb?
I'll explain by way of examples:
In these examples, learn, know and be are auxiliary to the verb next to them.
In Mandarin Chinese, here are some very common auxiliaries:
能 and 能够, 能夠
néng and nénggòu
can
会, 會
huì
know how to
可以
kéyǐ
may
应该, 應該
yīnggāi
should
肯
kěn
be willing to
必须, 必須
bìxū
must
敢
gǎn
dare