Question

What is lim x → -1 ln x​

Answer 1

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(∞) = ∞