let f be a function such that [tex]lim_{ h->x} \frac{f(2+h)-f(2)}{h} = 5[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Which of the following must be true?

I. f is continuous at x=2.

II. F is differentiable at x=2.

III. The derivative of f is continuous at x=2.

I know (I) is true because it can be differentiated

I know that (II) is ture to because the derivative was found so it can be differentiable.

I dont know if III is true because the it doesnt tell me the limit of f'(x)

are these correct?

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# Homework Help: Difinition of a derivative

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