limx→+∞(x+2−x−3)\lim\limits_{x \to +\infty}(\sqrt{x + 2}-\sqrt{x - 3})x→+∞lim(x+2−x−3).
计算不定积分∫x+2x+3dx\int\dfrac{\sqrt{x}+2}{x + 3}dx∫x+3x+2dx.
若limx→∞(x−bx)x=e3\lim\limits_{x \to \infty}(\dfrac{x - b}{x})^x = e^3x→∞lim(xx−b)x=e3，求bbb的值.
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