Let's break down the correctness of each sentence:
For sentences 1, 2, and 3:
1. "Thanks for sending the letter for me, it saved me a trip."
2. "Thanks for sending the letter for me, which saved me a trip."
3. "Thanks for sending the letter for me, this saved me a trip."
* Sentence 1: This sentence is correct grammatically, but it can be a bit informal. It uses "it" to refer to the action of sending the letter, which is implied but not explicitly stated.
* Sentence 2: This is also grammatically correct and more formal. "Which" refers back to "sending the letter," making the connection clearer.
* Sentence 3: This is grammatically correct, but it's less common to use "this" in this context. It's better to use "which" or rephrase for clarity.
For sentences 4:
4.① "loving into your heart for doing that thing." 4.② "loving into her heart on doing that thing." 4.③ "loving into Tom's heart for doing that thing for her."
* Sentence 4①: This sentence is not grammatically correct. "Loving into your heart" is unclear and doesn't form a coherent phrase.
* Sentence 4②: This sentence is also not grammatically correct. "Loving into her heart on doing that thing" doesn't make sense.
* Sentence 4③: This sentence is grammatically correct. It means that Jane loved Tom deeply for his actions towards her.
Summary:
* Correct sentences: 1, 2, 3 (with 2 being the most common and formal)
* Incorrect sentences: 4①, 4②
* Correct sentence: 4③