David1991Rod
David1991Rod David1991Rod
  • 12-10-2020
  • Mathematics
contestada

what is lim x → -1 ln x​

Respuesta :

2007789
2007789 2007789
  • 06-11-2020

Answer:

Step-by-step explanation:

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(∞) = ∞

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