Wise Men and Women,

I'm totally embarrassed to admitt I had my car towed to the local experts when it wouldn't start on Monday. It turns out it's that fuse mounted in the engine compartment adjacent to the left hand wheel well. I don't need any lectures about what a bone head I am for not checking it as part of my troubleshooting, (I've already beaten myself up over that). But the weird thing is that the car was having a hard time starting earlier in the day. It's like the fuse started "going bad". I have a mechanical background and I have never heard of fuse "starting to go". In my experience a fuse either works or doesn't, like a light switch. So Anybody that could shed some light on that will get a cyber beer. Additionally, what would make that fuse blow in the first place? Is some other component drawing too much current?
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It's Jim (in Hartford CT)