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Topic: Matheology 258
Replies: 2   Last Post: May 9, 2013 9:55 AM

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Alan Smaill

Posts: 1,103
Registered: 1/29/05
Re: Matheology 258
Posted: May 9, 2013 5:53 AM
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WM <> writes:

> On 9 Mai, 02:48, Ralf Bader <> wrote:
>> Virgil wrote:
>> >  WM <> wrote:
>> >> On 8 Mai, 21:56, Virgil <> wrote:
>> >> If for every sequence (x_n) with limit x_0 the limit of the sequence
>> >> of difference quotients
>> >> (f(x_n) - f(x_0))/(x_n - x_0) exists and is the same in all cases,
>> >> then df/dx is defined at x_0.

>> > But that one sequence gives a limit does not guarantee that that
>> > sequence need give the same result as any other sequence.

> Therfore I said "for every sequence (x_n) with limit x_0."

And x_0 is what, in this case?
An infinite natural???

> Regards, WM

Alan Smaill

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