Find
limx→∞2x3x2
I can only reason with this intuitively. since 3x2 grows much faster than 2x the limit as x→∞ of f must be 0.
Is there a more rigorous way to show this?
Answer
Rewriting the fraction as exln2ex2ln3=exln2−x2ln3 may also help you (although perhaps no more than the other answers given already).
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