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:
