The steadfast love of the LORD never ceases; his mercies never come to an end; they are new every morning; great is your faithfulness.
Great is your faithfulness — present tense, not past. Not "was faithful once" as a historical fact you'd have to take someone's word for, but a claim about something still holding true right now, this morning, whichever morning you happen to be reading this.
Maybe faithfulness is a word that's been worn thin for you by people who used it and then weren't. That's a real thing to carry, and this verse doesn't ask you to pretend otherwise. It just makes a specific, testable claim: that this kind of faithfulness renews daily, doesn't run on the track record of people who've disappointed you, and doesn't get tired the way people do.
You can't verify a claim like that in one sitting. But you could watch for it — treat today as one data point, and tomorrow as another, and see whether "new every morning" turns out to describe something real or just something written down a long time ago.
If the word faithfulness has been damaged by people who didn't live up to it, this claim might be worth testing on its own terms.
A short video on this is coming soon — for now, read on.