Carbon dating of fossils older than 10,000 years

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Carbon dating is effective for fossils up to about 60,000 years old, beyond which its accuracy diminishes significantly. This limitation arises because the initial levels of carbon-14 in the atmosphere and the consumption patterns of ancient organisms are not well understood, making predictions for fossils older than 10,000 years less reliable. For dating older fossils, potassium-40 is recommended as a more suitable method.
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Hello,
I'm just wondering, is it fine to predict the age of fossils older than 10,000 years with Carbon Datin? After all, I think nobody knows how much carbon-14 there was back then, and whether the animals consumed less or more carbon-14 than now. How exact are such long-term predictions?
 
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ca60,000 years is pretty much the limit
Anything older you'll need to use potassium-40.
 
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