在英语中，这种用法属于“垂悬修饰语”（Dangling modifier), 这是一种不太规范的用法，尽管在有些时候，我们可以在外刊见到。目前很多语法书主要谈及的“垂悬分词结构”，你的两个例子属于不定式形式。美国很多大学网站在谈及写作时都会提到“垂悬修饰语”问题，我给你提供一个美国普渡大学网站谈及垂悬修饰部分的一个例子：

例句：To improve his results, the experiment was done again. （X）

讲解：Who wanted to improve results? This sentence says that the experiment was trying to improve its own results. To revise, combine the phrase and the main clause into one sentence. The revision might look something like this:

改正： He improved his results by doing the experiment again.

https://owl.purdue.edu/owl/general_writing/mechanics/dangling_modifiers_and_how_to_correct_them.html

你的两个句子可以这样改正：

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To enjoy these benefits, we have some tips here.