Bitcoin/BTC will recover but I’m sure it will in near future without any miracle can’t reach $10K mark.
Now coming to your question how low it will go I predicted in the very beginning that it will reach $3K mark and I’m still very much confident on my prediction that in 2018 it will fall as low as $2K to $3K value and truly speaking I evaluate BTC even lower then as per its technology and the actual value it adds to Blockchain and current Crypto world order.
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If you are interested to know which coin is best to invest and how cryptocurrency trading can be done for quick profit and money ask me, I will be happy to answer your question.