在高等数学中,若函数f(x)在点x₀处可微,则f(x)在x₀处一定。
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Correct answer
C. 连续且可导
Principle or equation
在一元函数中,可微与可导等价,且可导必连续。
Why this answer is correct
函数在一点可微等价于可导,而可导必连续,因此可微必连续且可导。
Example
例如,f(x)=x²在x=0处可微,且在该点连续。
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