02/10/13 04:43, Guenter Marxen пишет:
Hi,
I've looked in Wikipedia
http://en.wikipedia.org/wiki/Zero_power_zero#Zero_to_the_power_of_zero
and for me it seems very reasonable to keep the old behaviour, as
according to this article many math and other software treats 0^0 = 1
(see the paragraphs under "Treatment on computers").
According to the German wikipedia Donald Knuth refuses to define
0^0=undefined but claims = 1 because otherwise many mathematical
theorema would need special case treatments.
So also mathematicians define 0^0=1. So let 0^0=1 in AOO.
Günter Marxen
In this case the expression 0^0 could be represents like f(x)^g(x) and
the limit of this expression will depends of how rapidly each of f(x)
and g(x) functions tends to NULL. So evaluation of indeterminate must be
made individually in every case. To resolve it needs to take logarithm
of initial expression and then try to find it's limit.
For example the limit of x^x while x tends to 0 will be equal 1
(if I don't make a mistake)
---
Sergey Torokhov
