What is the natural logarithm of infinity?

ln(∞) = ?

Since infinity is not a number, we should use limits:

The limit of the natural logarithm of x when x approaches infinity is infinity:

lim ln(*x*) = ∞

*x*→∞

The opposite case, the natural logarithm of minus infinity is undefined for real numbers, since the natural logarithm function is undefined for negative numbers:

lim ln(*x*) is undefined

*x *→ -∞

ln(∞) = ∞

ln(-∞) is undefined

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