What does ln(0) = ?

What is the natural logarithm of zero?

ln(0) = ?

The real natural logarithm function ln(x) is defined only for x>0.

So the natural logarithm of zero is undefined.

ln(0) is undefined

Why the natural logarithm of zero is undefined?

Since ln(0) is the number we should raise e to get 0:

ex = 0

There is no number x to satisfy this equation.

Limit of the natural logarithm of zero

The limit of the natural logarithm of x when x approaches zero from the positive side (0+) is minus infinity:

lim ln(x) = -infinity

 

 

Natural logarithm of one ►

 


See also

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