f(x)在(0,+∞)内有界可导且连续,那么f(x)在x趋于+∞时有极限么?
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![f(x)在(0,+∞)内有界可导且连续,那么f(x)在x趋于+∞时有极限么?](/uploads/image/z/3990367-55-7.jpg?t=f%28x%29%E5%9C%A8%EF%BC%880%2C%2B%E2%88%9E%EF%BC%89%E5%86%85%E6%9C%89%E7%95%8C%E5%8F%AF%E5%AF%BC%E4%B8%94%E8%BF%9E%E7%BB%AD%2C%E9%82%A3%E4%B9%88f%28x%29%E5%9C%A8x%E8%B6%8B%E4%BA%8E%2B%E2%88%9E%E6%97%B6%E6%9C%89%E6%9E%81%E9%99%90%E4%B9%88%3F)
f(x)在(0,+∞)内有界可导且连续,那么f(x)在x趋于+∞时有极限么?
f(x)在(0,+∞)内有界可导且连续,那么f(x)在x趋于+∞时有极限么?
f(x)在(0,+∞)内有界可导且连续,那么f(x)在x趋于+∞时有极限么?
不一定.
例子:f(x)=sinx 在(0,+∞)内有界可导且连续,但 f(x)在x趋于+∞时无极限.
f(x)在(0,+∞)内有界可导且连续,那么f(x)在x趋于+∞时有极限么?
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