Re: can you find the limit of this function?

From: Thomas Mautsch (mautsch_at_math.ethz.ch)
Date: 07/16/04 

Date: 16 Jul 2004 18:22:08 +0100

In news:<160720040904055381%bruck@math.usc.edu> schrieb Ronald Bruck:
> In article <baa549eb.0407152255.2b987562@posting.google.com>, Max
><max1974isome@hotmail.com> wrote:
[ ... ]
>> h
>> 3 - 1
>> -------
>> h
[ ... ]
>> How can I find that algebraically without
>> calculus?
[ ... ]
>> any ideas for an exact answer?
>
> WITHOUT calculus? Most unlikely. The limit is, by definition, the
> derivative of f(x) = 3^x at x = 0.

So someone in old times
must have calculated such a limit (most probable for g(x) = e^x)
BEFORE he knew what the derivative of f was,
just IN ORDER TO DETERMINE this derivative. ;-I

It's not definitions that thrive mathematics
but actual calculations and proofs.

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