设f(x)在有限区间(a,b)内可导,f(x)在a点的右极限等于无穷,能否判断f(x)的导数在a点的右极限也等于无穷?
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![设f(x)在有限区间(a,b)内可导,f(x)在a点的右极限等于无穷,能否判断f(x)的导数在a点的右极限也等于无穷?](/uploads/image/z/10214648-8-8.jpg?t=%E8%AE%BEf%28x%29%E5%9C%A8%E6%9C%89%E9%99%90%E5%8C%BA%E9%97%B4%28a%2Cb%29%E5%86%85%E5%8F%AF%E5%AF%BC%2Cf%28x%29%E5%9C%A8a%E7%82%B9%E7%9A%84%E5%8F%B3%E6%9E%81%E9%99%90%E7%AD%89%E4%BA%8E%E6%97%A0%E7%A9%B7%2C%E8%83%BD%E5%90%A6%E5%88%A4%E6%96%ADf%28x%29%E7%9A%84%E5%AF%BC%E6%95%B0%E5%9C%A8a%E7%82%B9%E7%9A%84%E5%8F%B3%E6%9E%81%E9%99%90%E4%B9%9F%E7%AD%89%E4%BA%8E%E6%97%A0%E7%A9%B7%3F)
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设f(x)在有限区间(a,b)内可导,f(x)在a点的右极限等于无穷,能否判断f(x)的导数在a点的右极限也等于无穷?
设f(x)在有限区间(a,b)内可导,f(x)在a点的右极限等于无穷,能否判断f(x)的导数在a点的右极限也等于无穷?
设f(x)在有限区间(a,b)内可导,f(x)在a点的右极限等于无穷,能否判断f(x)的导数在a点的右极限也等于无穷?
f(x) = lnx + sin(lnx),a=0