Why Does the Limit of ln(x²-9) Approach -∞ as x Approaches 3?

[CrossFit415]

I'm on mobile so I won't use latex.

Lim x -> 3 ln(x^2-9)

My question is why limit approaches - infinite? When I plug in the numbers I get positive infinite.

 

[micromass]

How did you get positive infinite?? Can you show me what you did?

 

[CrossFit415]

Since I have to figure out x>3, I plugged in the values such as x=4 y=1.945, x=3.5 y=1.178, x=3.9 y=1.826. Whoops I found my mistake haha. I kept plugging in 3.9 and 3.9999 thinking it was closer to 3, when I should had plugged in 3.01 and 3.001. Thank you.