Is it correct to say that log_2 0=−oo?

Adrian Brown

Adrian Brown

Answered question

2022-11-06

Is it correct to say that log 2 0 = ?
The logarithm is not defined at x = 0, because it tends to as x tends to 0 from above. But is it nevetheless correct to say that
log 2 ( 0 ) = ?
Or is it better to say/ write
log 2 ( 0 ) = lim x 0 log 2 ( x ) =

Answer & Explanation

ontzeidena8a

ontzeidena8a

Beginner2022-11-07Added 17 answers

It is correct to say that lim x 0 + log ( x ) = . That is, log x tends toward as x 0 +
However, log ( 0 ) is not equal to , because, as you say, log ( x ) is undefined at x = 0
akuzativo617

akuzativo617

Beginner2022-11-08Added 3 answers

as you said, it is not defined at 0. But, (here I wave my hand), it is ok to think it is when you work in limit sense.

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