设f(x)在[0,+∞)上有连续的一阶导数,且lim(x→∞)f'(x)=a,证lim(x→∞)f(x)=∞
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设f(x)在[0,+∞)上有连续的一阶导数,且lim(x→∞)f'(x)=a,证lim(x→∞)f(x)=∞
![设f(x)在[0,+∞)上有连续的一阶导数,且lim(x→∞)f'(x)=a,证lim(x→∞)f(x)=∞](/uploads/image/z/5221334-38-4.jpg?t=%E8%AE%BEf%28x%29%E5%9C%A8%5B0%2C%2B%E2%88%9E%29%E4%B8%8A%E6%9C%89%E8%BF%9E%E7%BB%AD%E7%9A%84%E4%B8%80%E9%98%B6%E5%AF%BC%E6%95%B0%2C%E4%B8%94lim%28x%E2%86%92%E2%88%9E%29f%27%28x%29%3Da%2C%E8%AF%81lim%28x%E2%86%92%E2%88%9E%29f%28x%29%3D%E2%88%9E)
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