I'm going to leave a note on my neighbor's doorstep asking him to maintain his tree
Why do you want him to maintain his tree?
I'm really tired of seeing his tree and it needs to be cut.
You should tell your neighbor if his tree is encroaching your property. He should maintain his tree when needed.
I'm going to leave that note on his doorstep and if he tells me that he won't take care of it, I'll tell him to go to hell.
I don't think arguing with him is going to solve it.If he won't take care of it then there should be a county law to make him take care of it. That would be the next best option.