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 ) = − ∞

Question

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  )  =  −  ∞

ontzeidena8a · Accepted Answer

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 · Accepted Answer

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.

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

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