设f(x)=x3+3xlimx→1f(x)f(x) = x^3 + 3x\lim\limits_{x \to 1} f(x)f(x)=x3+3xx→1limf(x)，且limx→1f(x)\lim\limits_{x \to 1} f(x)x→1limf(x)存在，求f(x)f(x)f(x).
求极限limx→+∞ln(1+2x)ex−1\lim\limits_{x \to +\infty} \dfrac{\ln(1 + 2x)}{e^x - 1}x→+∞limex−1ln(1+2x).
∫dxx2−x−72=\int \dfrac{dx}{x^2 - x - 72} =∫x2−x−72dx=______.
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