The gerund and infinitive form of a verb suggests that some sort of plan was made earlier before the event occurs and there is no assurance that the event will actually occur.

动词的动名词形式和不定式，表达了事件发生前设想好的某种计划，也不保证事件一定会发生。

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Infinitive form can take object or adverbial infinitive phrase, there is no person and number of changes, but sometimes tense and voice changes.

不定式可以带宾语或状语构成不定式短语，没有人称和数的变化，但有时态和语态的变化。

youdao

We can use a verb and an object before a question word with a to-infinitive.

我们可以在带有动词不定式的疑问词前使用一个动词和一个宾语。

youdao

I mean, they have no idea how hard we work, and look at this gigantic split infinitive, to dramatically help.

他们不知道我们有多么努力地工作，注意到这之间的巨大鸿沟，会有很大的帮助。

麻省理工公开课 - 固态化学导论课程节选

And never split an infinitive.

FORBES: Grammar Grows Up