What Is The Natural Logarithm Of Infinity | Ln(∞)=?

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What is the natural logarithm of infinity?

ln(∞) = ?

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

x approaches infinity

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

lim ln(x) = ∞

x→∞

x approaches minus infinity

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 → -∞

So we can summarize

ln(∞) = ∞

ln(-∞) is undefined

Ln of negative number ►

See also

  • Ln of zero
  • Ln of one
  • Ln of e
  • Ln of negative number
  • Logarithm calculator
  • Natural logarithm calculator
  • Natural logarithm
  • e constant
  • Infinity symbol

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