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Continuity as a Necessary Condition for Differentiability
If $$f$$ is differentiable at $$x=a$$, then:
$$\lim_{x\to a}f(x)=f(a)$$
Usage
- Used to reject differentiability immediately when continuity fails.
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Continuity as a Necessary Condition for Differentiability
If $$f$$ is differentiable at $$x=a$$, then:
$$\lim_{x\to a}f(x)=f(a)$$
Usage
- Used to reject differentiability immediately when continuity fails.
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