Re: Darboux intermediate value theorem


>
> Whether or not this means that you've spotted a(n unimportant)
> error in the proof depends on exactly how the theorem is stated.
> We're talking about the proof of Rolle's theorem, but you
> didn't include the statement - exactly how is it phrased?
>

Here it goes: "Suppose that f is continuous on [a,b] and is
differentiable on (a,b). Suppose further that f(a)=f(b). Then there
exists at least one c in (a,b) such that f'(c)=0."
But mind you: my goal is not to spot errors, just to make sure that I
understand concepts.
Thanks.

Frank

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