等价无穷小量代换
用洛必达方法则有:A=\lim\limits_{x\to 0}\frac{f(x)/sinx}{x}\frac{\ln(1+f(x)/sinx}{x}}{f(x)/sinx}\frac{x}{a^x-1}=\lim\limits_{x\to 0}\frac{f(x)}{x^2}\frac{1}[\ln a}所以就有:\lim\limits_{x\to 0}\frac{f(x)}{x^2}=Aln a