テ形. A non-finite form of a verb or adjective primarily used to connect to a following predicate or subsidiary verb, with some secondary uses derived by ellipsis (e.g. of くれ or ください). In many cases it corresponds to English "and". Linguists often refer to it as the "gerund" form, and some have also ...
I would like to know the exact nuance between all these forms in these example sentences : そうした方がもっと可愛くなる。 : This one feels like she would become cuter if she did that (instead of something else) ...
The いて I'm referring to is in the last line of the lyrics of a song called Don't you see!: 私をつかまえていて So apparently つかまえて is the て-form of つかまえる. But why is there a いて at the end?