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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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