Write the numbers $A,B$ and $C$ in ascending order, where $$A=\lim_{x\to+\infty}\left(1+\dfrac{1}{x}\right)^{2x},B=\lim_{x\to0}\dfrac{3\sin{3x}}{x},C=\lim_{x\to1}\dfrac{3x^2-2x-1}{x^2-1}$$ It's fairly easy to get that $A=e^2$, $B=9$ and $C=2$. How do I find which one is the largest? I don't know how to compare the numbers with $e^2$.
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