<s>[INST] Find the value of $3^9\cdot 3^3\cdot 3\cdot 3^{1/3}\cdot\cdots$ 
Find the value of $3^9\cdot 3^3\cdot 3\cdot 3^{1/3}\cdot\cdots$

Doesn't this thing approaches 0 at the end?  why does it approaches 1?
 [/INST] Hint:  $3^9\cdot3^3\cdot3^1\cdot\dots=3^{9+3+1+\cdots}$
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