Arabbit.380
net.math
utcsrgv!utzoo!decvax!ucbvax!ihnss!mhtsa!alice!rabbit!ark
Sat Mar 13 11:16:01 1982
Re: log0 query
Be careful not to confuse
lim log(x)
x->0
with log(0). Log(0) is undefined, but there is a perfectly legitimate
and rigorous meaning to saying that, for instance
lim log(x) = -infinity
x->0
The meaning is that by making x as small as you like, you can make
log(x) as large a negative number as you like. (read "small" to
mean "close to zero"). This meaning can be defined without ever
having to admit that there is such a number as "infinity".
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